Israel (1).ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "Israel.ipynb",
      "provenance": [],
      "collapsed_sections": []
    },
    "kernelspec": {
      "display_name": "Python 3",
      "name": "python3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "IWPOpC8lA2L_"
      },
      "source": [
        "基本程式設定"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "r1K6vi1774jg",
        "outputId": "91d7cac5-a6b5-40ed-d028-e76de0a77ba1"
      },
      "source": [
        "from scipy.integrate import odeint\n",
        "from scipy.optimize import minimize\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "!pip install mpld3\n",
        "import mpld3\n",
        "mpld3.enable_notebook()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Collecting mpld3\n",
            "\u001b[?25l  Downloading https://files.pythonhosted.org/packages/73/7b/01d3b2977cdc0127c04a04c8f52effa76a47be9ccf400bb10629b1bdc806/mpld3-0.5.5.tar.gz (1.0MB)\n",
            "\u001b[K     |████████████████████████████████| 1.0MB 5.2MB/s \n",
            "\u001b[?25hRequirement already satisfied: jinja2 in /usr/local/lib/python3.7/dist-packages (from mpld3) (2.11.3)\n",
            "Requirement already satisfied: matplotlib in /usr/local/lib/python3.7/dist-packages (from mpld3) (3.2.2)\n",
            "Requirement already satisfied: MarkupSafe>=0.23 in /usr/local/lib/python3.7/dist-packages (from jinja2->mpld3) (2.0.1)\n",
            "Requirement already satisfied: python-dateutil>=2.1 in /usr/local/lib/python3.7/dist-packages (from matplotlib->mpld3) (2.8.1)\n",
            "Requirement already satisfied: cycler>=0.10 in /usr/local/lib/python3.7/dist-packages (from matplotlib->mpld3) (0.10.0)\n",
            "Requirement already satisfied: pyparsing!=2.0.4,!=2.1.2,!=2.1.6,>=2.0.1 in /usr/local/lib/python3.7/dist-packages (from matplotlib->mpld3) (2.4.7)\n",
            "Requirement already satisfied: numpy>=1.11 in /usr/local/lib/python3.7/dist-packages (from matplotlib->mpld3) (1.19.5)\n",
            "Requirement already satisfied: kiwisolver>=1.0.1 in /usr/local/lib/python3.7/dist-packages (from matplotlib->mpld3) (1.3.1)\n",
            "Requirement already satisfied: six>=1.5 in /usr/local/lib/python3.7/dist-packages (from python-dateutil>=2.1->matplotlib->mpld3) (1.15.0)\n",
            "Building wheels for collected packages: mpld3\n",
            "  Building wheel for mpld3 (setup.py) ... \u001b[?25l\u001b[?25hdone\n",
            "  Created wheel for mpld3: filename=mpld3-0.5.5-cp37-none-any.whl size=200910 sha256=a6d7eebc044f2b61a402d71f85482a61e46f963ab3be028c2a3f753ed19e48a7\n",
            "  Stored in directory: /root/.cache/pip/wheels/af/45/6e/2cac6b56090f496d5a45bfa7a41686efb36261c76d3c38b411\n",
            "Successfully built mpld3\n",
            "Installing collected packages: mpld3\n",
            "Successfully installed mpld3-0.5.5\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "RCx3Kt4ABDzh"
      },
      "source": [
        "# start : 2020/1/31\n",
        "# end  : 2020/7/7\n",
        "\n",
        "Totaldays = 504    #人口數據總天數\n",
        "real_Total_Infected = [0, 1, 1, 1, 1, 1, 2, 3, 6, 6, 7, 12, 15, 15, 21, 37, 47, 56, 60, 88, 60, 81, 112, 138, 177, 251, 295, 371, 386, 628, 843, 1080, 1249, 1351, 2468, 2988, 3421, 3901, 4433, 4979, 5717, 6413, 7132, 7729, 8157, 8740, 9191, 9568, 9906, 10249, 10607, 10952, 11504, 11942, 12341, 12652, 12948, 13246, 13537, 13813, 14112, 14394, 14619, 14895, 15143, 15302, 15385, 15513, 15672, 15754, 15896, 16012, 16069, 16096, 16149, 16181, 16246, 16307, 16340, 16359, 16388, 16427, 16450, 16489, 16511, 16523, 16528, 16543, 16570, 16592, 16607, 16624, 16643, 16648, 16661, 16683, 16733, 16773, 16850, 16963, 16992, 17079, 17179, 17300, 17397, 17539, 17666, 17744, 17884, 18063, 18236, 18476, 18667, 18851, 19000, 19136, 19334, 19634, 19905, 20207, 20517, 20676, 20849, 21194, 21645, 22132, 22648, 23112, 23510, 23895, 24652, 25438, 26410, 27556, 28495, 29316, 30147, 31281, 32671, 33998, 35523, 36932, 38100, 39338, 41058, 42662, 44539, 46478, 48083, 49531, 50547, 52434, 54440, 56484, 58474, 60304, 61416, 62458, 64506, 66631, 68585, 70372, 71734, 72359, 73067, 74867, 76596, 78286, 79963, 81727, 82481, 83405, 85109, 86932, 88554, 90197, 91585, 92342, 93410, 95060, 96709, 98349, 99836, 101329, 102040, 103005, 104905, 106861, 108814, 110885, 112717, 113627, 114728, 116906, 119158, 122351, 125012, 127635, 129140, 131317, 134705, 138194, 142190, 146351, 150326, 153045, 156220, 161025, 166564, 171138, 176523, 181863, 185672, 188251, 192117, 199138, 206263, 214497, 222887, 228769, 232183, 233342, 238333, 247411, 255142, 262200, 264793, 267730, 273451, 278175, 282340, 286095, 289058, 289974, 291620, 294789, 297125, 299242, 300854, 302354, 302765, 303687, 305204, 306397, 307569, 308601, 309450, 309696, 310303, 311187, 312074, 312797, 313441, 314121, 314349, 315007, 315795, 316641, 317410, 317980, 318671, 318883, 319417, 320136, 320811, 321574, 322410, 323171, 323463, 324088, 324961, 325790, 326585, 327355, 328129, 328551, 329316, 330275, 331132, 332211, 333296, 334328, 334908, 335933, 337191, 338389, 339968, 341406, 342101, 343826, 344906, 346797, 348285, 350271, 352397, 353269, 355786, 357176, 359506, 360630, 365042, 367975, 370152, 372886, 374760, 378259, 382487, 385022, 389678, 394391, 398664, 401470, 407285, 412398, 416584, 423262, 428510, 434799, 441542, 448173, 456139, 463448, 471048, 477357, 485434, 491319, 501073, 510063, 520060, 529814, 535049, 543499, 551689, 558249, 565629, 575842, 582869, 589028, 593961, 597403, 601069, 609656, 621590, 628895, 633991, 638789, 643435, 652246, 659978, 668874, 675618, 680856, 685583, 692101, 696528, 703719, 709729, 714812, 718746, 721846, 724380, 730293, 734575, 738629, 741934, 744513, 744513, 750043, 754998, 759572, 763756, 767726, 770780, 773335, 775807, 779958, 785218, 789485, 793407, 796465, 799727, 801575, 805116, 808262, 811492, 814250, 816198, 817799, 818977, 820913, 822703, 824178, 825562, 826609, 827220, 827772, 828764, 829689, 830028, 830845, 831383, 831383, 831924, 832125, 832639, 833105, 833456, 833707, 834070, 834247, 834603, 834920, 835216, 835486, 835674, 835813, 835933, 836158, 836334, 836590, 836902, 836936, 836883, 837047, 837218, 837357, 837492, 837807, 837892, 837974, 838024, 838107, 838217, 838323, 838407, 838481, 838481, 838554, 838621, 838697, 838767, 838828, 838858, 838886, 838894, 838957, 839000, 839030, 839059, 839079, 839118, 839119, 839159, 839167, 839221, 839263, 839290, 839308, 839319, 839367, 839389, 839408, 839420, 839433, 839453, 839458, 839475, 839511, 839517, 839532, 839539, 839566, 839571, 839585, 839585, 839585, 839630, 839653, 839661, 839666, 839690, 839701, 839720, 839747, 839769, 839830, 839867, 839990, 840079, 840225, 840444, 840638, 840823, 840888, 841196, 841486, 841777, 842067, 842371, 842648, 842969, 843465, 843892, 844378]\n",
        "real_Total_Deaths = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 4, 5, 10, 12, 13, 16, 17, 21, 29, 38, 43, 49, 56, 64, 72, 80, 89, 97, 103, 109, 118, 126, 139, 146, 155, 166, 174, 180, 189, 192, 196, 199, 202, 204, 208, 213, 219, 225, 229, 232, 235, 238, 240, 241, 242, 248, 251, 255, 260, 263, 266, 268, 268, 271, 275, 278, 280, 281, 281, 281, 281, 282, 284, 284, 286, 287, 287, 287, 287, 290, 292, 293, 293, 294, 298, 300, 300, 301, 302, 302, 302, 303, 305, 305, 306, 306, 306, 307, 308, 308, 309, 311, 314, 318, 321, 324, 326, 326, 327, 330, 331, 334, 339, 341, 349, 354, 359, 364, 368, 373, 380, 384, 391, 397, 406, 418, 426, 436, 448, 457, 463, 479, 487, 494, 505, 512, 520, 535, 550, 564, 578, 589, 604, 615, 625, 634, 646, 659, 666, 681, 692, 707, 723, 735, 745, 764, 768, 782, 794, 806, 819, 829, 842, 858, 877, 888, 899, 911, 916, 930, 953, 968, 982, 998, 1010, 1025, 1037, 1054, 1074, 1089, 1103, 1123, 1138, 1155, 1175, 1191, 1217, 1235, 1255, 1282, 1303, 1334, 1360, 1385, 1416, 1446, 1471, 1503, 1532, 1567, 1604, 1650, 1675, 1712, 1748, 1775, 1820, 1846, 1893, 1933, 1968, 2014, 2044, 2082, 2117, 2148, 2182, 2214, 2247, 2278, 2298, 2323, 2352, 2378, 2405, 2440, 2468, 2496, 2506, 2525, 2536, 2561, 2580, 2596, 2622, 2639, 2652, 2668, 2676, 2683, 2689, 2699, 2706, 2718, 2723, 2735, 2744, 2751, 2763, 2770, 2778, 2784, 2796, 2813, 2820, 2826, 2831, 2840, 2846, 2856, 2864, 2872, 2882, 2886, 2895, 2896, 2909, 2917, 2924, 2932, 2934, 2961, 2969, 2983, 2999, 3004, 3014, 3034, 3050, 3057, 3074, 3099, 3111, 3136, 3150, 3171, 3186, 3210, 3226, 3256, 3292, 3307, 3325, 3356, 3392, 3416, 3445, 3496, 3529, 3552, 3596, 3645, 3671, 3704, 3771, 3817, 3870, 3910, 3959, 4005, 4044, 4080, 4181, 4245, 4266, 4341, 4419, 4498, 4513, 4605, 4669, 4700, 4738, 4796, 4816, 4887, 4948, 5001, 5020, 5071, 5121, 5171, 5216, 5257, 5283, 5304, 5351, 5388, 5414, 5441, 5473, 5509, 5526, 5526, 5577, 5596, 5634, 5660, 5687, 5697, 5732, 5752, 5760, 5790, 5803, 5822, 5834, 5856, 5891, 5917, 5933, 5950, 5967, 5980, 5988, 6011, 6030, 6048, 6057, 6069, 6073, 6082, 6092, 6109, 6122, 6154, 6163, 6165, 6165, 6185, 6197, 6193, 6209, 6220, 6220, 6236, 6243, 6248, 6257, 6266, 6279, 6280, 6292, 6296, 6304, 6309, 6312, 6315, 6316, 6331, 6335, 6341, 6345, 6346, 6346, 6346, 6350, 6352, 6353, 6359, 6361, 6362, 6363, 6363, 6366, 6367, 6369, 6370, 6374, 6375, 6376, 6377, 6378, 6378, 6379, 6379, 6380, 6381, 6382, 6389, 6392, 6395, 6396, 6397, 6397, 6404, 6406, 6406, 6406, 6406, 6407, 6407, 6411, 6412, 6413, 6415, 6416, 6417, 6418, 6418, 6418, 6418, 6418, 6428, 6428, 6428, 6430, 6428, 6428, 6428, 6427, 6427, 6427, 6427, 6427, 6428, 6428, 6429, 6429, 6429, 6429, 6429, 6429, 6429, 6429, 6429, 6429, 6428, 6429, 6429, 6429]\n",
        "real_New_Infected = []\n",
        "real_New_Deaths = []\n",
        "for i in range(Totaldays):\n",
        "  real_New_Infected.append(real_Total_Infected[i]-real_Total_Infected[i-1])\n",
        "  real_New_Deaths.append(real_Total_Deaths[i]-real_Total_Deaths[i-1])\n",
        "real_New_Infected[0] = real_Total_Infected[0]\n",
        "real_New_Deaths[0] = real_Total_Deaths[0]"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 381
        },
        "id": "BJtuTCRkB0I5",
        "outputId": "5ed144e5-5b01-4899-ee4d-c47623ba35f0"
      },
      "source": [
        "t = list(range(Totaldays))\n",
        "\n",
        "f1, ax1 = plt.subplots(1, 1, figsize=(10,5))\n",
        "\n",
        "ax1.plot(t, real_Total_Infected, 'b--', alpha=0.7, linewidth=2, label='Real Total Infected')\n",
        "ax1.plot(t, real_Total_Deaths, 'k--', alpha=0.7, linewidth=2, label='Real Total Deaths')\n",
        "\n",
        "ax1.set_xlabel('Time (days)', labelpad=16, size=16)\n",
        "ax1.set_ylabel('Populations (people)', labelpad=16, size=16)\n",
        "\n",
        "ax1.yaxis.set_tick_params(length=0)\n",
        "ax1.xaxis.set_tick_params(length=0)\n",
        "ax1.grid(b=True, which='major', c='w', lw=2, ls='-')\n",
        "legend = ax1.legend()\n",
        "legend.get_frame().set_alpha(0.5)\n",
        "for spine in ('top', 'right', 'bottom', 'left'):\n",
        "  ax1.spines[spine].set_visible(False)\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/html": [
              "\n",
              "\n",
              "<style>\n",
              "\n",
              "</style>\n",
              "\n",
              "<div id=\"fig_el621398364683614244255573388\"></div>\n",
              "<script>\n",
              "function mpld3_load_lib(url, callback){\n",
              "  var s = document.createElement('script');\n",
              "  s.src = url;\n",
              "  s.async = true;\n",
              "  s.onreadystatechange = s.onload = callback;\n",
              "  s.onerror = function(){console.warn(\"failed to load library \" + url);};\n",
              "  document.getElementsByTagName(\"head\")[0].appendChild(s);\n",
              "}\n",
              "\n",
              "if(typeof(mpld3) !== \"undefined\" && mpld3._mpld3IsLoaded){\n",
              "   // already loaded: just create the figure\n",
              "   !function(mpld3){\n",
              "       \n",
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              "   }(mpld3);\n",
              "}else if(typeof define === \"function\" && define.amd){\n",
              "   // require.js is available: use it to load d3/mpld3\n",
              "   require.config({paths: {d3: \"https://d3js.org/d3.v5\"}});\n",
              "   require([\"d3\"], function(d3){\n",
              "      window.d3 = d3;\n",
              "      mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
              "         \n",
              "         mpld3.draw_figure(\"fig_el621398364683614244255573388\", {\"width\": 720.0, \"height\": 360.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-25.150000000000002, 528.15], \"ylim\": [-42218.9, 886596.9], \"xdomain\": [-25.150000000000002, 528.15], \"ydomain\": [-42218.9, 886596.9], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 8, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 7, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, 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839666.0, 6430.0], [480.0, 839690.0, 6428.0], [481.0, 839701.0, 6428.0], [482.0, 839720.0, 6428.0], [483.0, 839747.0, 6427.0], [484.0, 839769.0, 6427.0], [485.0, 839830.0, 6427.0], [486.0, 839867.0, 6427.0], [487.0, 839990.0, 6427.0], [488.0, 840079.0, 6428.0], [489.0, 840225.0, 6428.0], [490.0, 840444.0, 6429.0], [491.0, 840638.0, 6429.0], [492.0, 840823.0, 6429.0], [493.0, 840888.0, 6429.0], [494.0, 841196.0, 6429.0], [495.0, 841486.0, 6429.0], [496.0, 841777.0, 6429.0], [497.0, 842067.0, 6429.0], [498.0, 842371.0, 6429.0], [499.0, 842648.0, 6429.0], [500.0, 842969.0, 6428.0], [501.0, 843465.0, 6429.0], [502.0, 843892.0, 6429.0], [503.0, 844378.0, 6429.0]], \"data02\": [[0.01612903225806453, 0.9503311258278145, 0.8951434878587198], [0.051971326164874564, 0.9503311258278145, 0.8951434878587198]], \"data03\": [[0.01254480286738352, 0.8601913171449596], [0.23431899641577061, 0.8601913171449596], [0.2379032258064516, 0.8601913171449596], [0.2379032258064516, 0.8675496688741722], [0.2379032258064516, 0.9742457689477557], [0.2379032258064516, 0.9816041206769683], [0.23431899641577061, 0.9816041206769683], [0.01254480286738352, 0.9816041206769683], [0.00896057347670251, 0.9816041206769683], [0.00896057347670251, 0.9742457689477557], [0.00896057347670251, 0.8675496688741722], [0.00896057347670251, 0.8601913171449596], [0.01254480286738352, 0.8601913171449596]]}, \"id\": \"el62139836468361424\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}]});\n",
              "      });\n",
              "    });\n",
              "}else{\n",
              "    // require.js not available: dynamically load d3 & mpld3\n",
              "    mpld3_load_lib(\"https://d3js.org/d3.v5.js\", function(){\n",
              "         mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
              "                 \n",
              "                 mpld3.draw_figure(\"fig_el621398364683614244255573388\", {\"width\": 720.0, \"height\": 360.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-25.150000000000002, 528.15], \"ylim\": [-42218.9, 886596.9], \"xdomain\": [-25.150000000000002, 528.15], \"ydomain\": [-42218.9, 886596.9], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 8, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 7, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el62139836468031952\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", \"id\": \"el62139836466917648\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"data\", \"id\": \"el62139836466980496\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"id\": \"el62139836467028752\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"axes\", \"id\": \"el62139836467030288\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}], \"paths\": [{\"data\": \"data03\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"pathcodes\": [\"M\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"Z\"], \"id\": \"el62139836466982032\", \"dasharray\": \"none\", \"alpha\": 0.5, \"facecolor\": \"rgba(255, 255, 255, 0.5)\", \"edgecolor\": \"rgba(204, 204, 204, 0.5)\", \"edgewidth\": 1.0, \"zorder\": 1000000.0}], \"markers\": [], \"texts\": [{\"text\": \"Time (days)\", \"position\": [0.5, -0.1085356880058867], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"hanging\", \"rotation\": -0.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": \"el62139836468035088\"}, {\"text\": \"Populations (people)\", \"position\": [-0.10237455197132617, 0.5], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"auto\", \"rotation\": -90.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 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0.8675496688741722], [0.2379032258064516, 0.9742457689477557], [0.2379032258064516, 0.9816041206769683], [0.23431899641577061, 0.9816041206769683], [0.01254480286738352, 0.9816041206769683], [0.00896057347670251, 0.9816041206769683], [0.00896057347670251, 0.9742457689477557], [0.00896057347670251, 0.8675496688741722], [0.00896057347670251, 0.8601913171449596], [0.01254480286738352, 0.8601913171449596]]}, \"id\": \"el62139836468361424\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}]});\n",
              "            })\n",
              "         });\n",
              "}\n",
              "</script>"
            ],
            "text/plain": [
              "<Figure size 720x360 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 381
        },
        "id": "SDzU-8HyC_Yl",
        "outputId": "23a8ecb6-711c-4e8d-c05b-0beff49b4660"
      },
      "source": [
        "t = list(range(Totaldays))\n",
        "\n",
        "f1, ax1 = plt.subplots(1, 1, figsize=(10,5))\n",
        "\n",
        "ax1.plot(t, real_New_Infected, 'b--', alpha=0.7, linewidth=2, label='Real New Infected')\n",
        "ax1.plot(t, real_New_Deaths, 'k--', alpha=0.7, linewidth=2, label='Real New Deaths')\n",
        "\n",
        "ax1.set_xlabel('Time (days)', labelpad=16, size=16)\n",
        "ax1.set_ylabel('Populations (people)', labelpad=16, size=16)\n",
        "\n",
        "ax1.yaxis.set_tick_params(length=0)\n",
        "ax1.xaxis.set_tick_params(length=0)\n",
        "ax1.grid(b=True, which='major', c='w', lw=2, ls='-')\n",
        "legend = ax1.legend()\n",
        "legend.get_frame().set_alpha(0.5)\n",
        "for spine in ('top', 'right', 'bottom', 'left'):\n",
        "  ax1.spines[spine].set_visible(False)\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
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              "\n",
              "\n",
              "<style>\n",
              "\n",
              "</style>\n",
              "\n",
              "<div id=\"fig_el621398364683627046318017146\"></div>\n",
              "<script>\n",
              "function mpld3_load_lib(url, callback){\n",
              "  var s = document.createElement('script');\n",
              "  s.src = url;\n",
              "  s.async = true;\n",
              "  s.onreadystatechange = s.onload = callback;\n",
              "  s.onerror = function(){console.warn(\"failed to load library \" + url);};\n",
              "  document.getElementsByTagName(\"head\")[0].appendChild(s);\n",
              "}\n",
              "\n",
              "if(typeof(mpld3) !== \"undefined\" && mpld3._mpld3IsLoaded){\n",
              "   // already loaded: just create the figure\n",
              "   !function(mpld3){\n",
              "       \n",
              "       mpld3.draw_figure(\"fig_el621398364683627046318017146\", {\"width\": 720.0, \"height\": 360.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-25.150000000000002, 528.15], \"ylim\": [-652.35, 12533.35], \"xdomain\": [-25.150000000000002, 528.15], \"ydomain\": [-652.35, 12533.35], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 8, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 9, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, 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              "   }(mpld3);\n",
              "}else if(typeof define === \"function\" && define.amd){\n",
              "   // require.js is available: use it to load d3/mpld3\n",
              "   require.config({paths: {d3: \"https://d3js.org/d3.v5\"}});\n",
              "   require([\"d3\"], function(d3){\n",
              "      window.d3 = d3;\n",
              "      mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
              "         \n",
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[480.0, 24.0, -2.0], [481.0, 11.0, 0.0], [482.0, 19.0, 0.0], [483.0, 27.0, -1.0], [484.0, 22.0, 0.0], [485.0, 61.0, 0.0], [486.0, 37.0, 0.0], [487.0, 123.0, 0.0], [488.0, 89.0, 1.0], [489.0, 146.0, 0.0], [490.0, 219.0, 1.0], [491.0, 194.0, 0.0], [492.0, 185.0, 0.0], [493.0, 65.0, 0.0], [494.0, 308.0, 0.0], [495.0, 290.0, 0.0], [496.0, 291.0, 0.0], [497.0, 290.0, 0.0], [498.0, 304.0, 0.0], [499.0, 277.0, 0.0], [500.0, 321.0, -1.0], [501.0, 496.0, 1.0], [502.0, 427.0, 0.0], [503.0, 486.0, 0.0]], \"data02\": [[0.7692652329749105, 0.9503311258278145, 0.8951434878587198], [0.8051075268817205, 0.9503311258278145, 0.8951434878587198]], \"data03\": [[0.7656810035842294, 0.8601913171449596], [0.9874551971326165, 0.8601913171449596], [0.9910394265232975, 0.8601913171449596], [0.9910394265232975, 0.8675496688741722], [0.9910394265232975, 0.9742457689477557], [0.9910394265232975, 0.9816041206769683], [0.9874551971326165, 0.9816041206769683], [0.7656810035842294, 0.9816041206769683], [0.7620967741935484, 0.9816041206769683], [0.7620967741935484, 0.9742457689477557], [0.7620967741935484, 0.8675496688741722], [0.7620967741935484, 0.8601913171449596], [0.7656810035842294, 0.8601913171449596]]}, \"id\": \"el62139836468362704\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}]});\n",
              "      });\n",
              "    });\n",
              "}else{\n",
              "    // require.js not available: dynamically load d3 & mpld3\n",
              "    mpld3_load_lib(\"https://d3js.org/d3.v5.js\", function(){\n",
              "         mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
              "                 \n",
              "                 mpld3.draw_figure(\"fig_el621398364683627046318017146\", {\"width\": 720.0, \"height\": 360.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-25.150000000000002, 528.15], \"ylim\": [-652.35, 12533.35], \"xdomain\": [-25.150000000000002, 528.15], \"ydomain\": [-652.35, 12533.35], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 8, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 9, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el62139836468333392\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", \"id\": \"el62139836328075152\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"data\", \"id\": \"el62139836310848976\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"id\": \"el62139836310851536\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"axes\", \"id\": \"el62139836310873616\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}], \"paths\": [{\"data\": \"data03\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"pathcodes\": [\"M\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"Z\"], \"id\": \"el62139836310850192\", \"dasharray\": \"none\", \"alpha\": 0.5, \"facecolor\": \"rgba(255, 255, 255, 0.5)\", \"edgecolor\": \"rgba(204, 204, 204, 0.5)\", \"edgewidth\": 1.0, \"zorder\": 1000000.0}], \"markers\": [], \"texts\": [{\"text\": \"Time (days)\", \"position\": [0.5, -0.1085356880058867], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"hanging\", \"rotation\": -0.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": \"el62139836467447056\"}, {\"text\": \"Populations (people)\", \"position\": [-0.0913978494623656, 0.5], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"auto\", \"rotation\": -90.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": \"el62139836467336528\"}, {\"text\": \"Real Total Infected\", \"position\": [0.8194444444444445, 0.9374540103016924], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el62139836310851024\"}, {\"text\": \"Real Total Deaths\", \"position\": [0.8194444444444445, 0.8822663723325976], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el62139836310873168\"}], \"collections\": [], \"images\": [], \"sharex\": [], \"sharey\": []}], \"data\": {\"data01\": [[0.0, 0.0, 0.0], [1.0, 1.0, 0.0], [2.0, 0.0, 0.0], [3.0, 0.0, 0.0], [4.0, 0.0, 0.0], [5.0, 0.0, 0.0], [6.0, 1.0, 0.0], [7.0, 1.0, 0.0], [8.0, 3.0, 0.0], [9.0, 0.0, 0.0], [10.0, 1.0, 0.0], [11.0, 5.0, 0.0], [12.0, 3.0, 0.0], [13.0, 0.0, 0.0], [14.0, 6.0, 0.0], 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0.9816041206769683], [0.7620967741935484, 0.9816041206769683], [0.7620967741935484, 0.9742457689477557], [0.7620967741935484, 0.8675496688741722], [0.7620967741935484, 0.8601913171449596], [0.7656810035842294, 0.8601913171449596]]}, \"id\": \"el62139836468362704\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}]});\n",
              "            })\n",
              "         });\n",
              "}\n",
              "</script>"
            ],
            "text/plain": [
              "<Figure size 720x360 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "NDAGSCFfnNCL"
      },
      "source": [
        "start = 270\n",
        "end = 454\n",
        "days = end - start\n",
        "real_Total_Infected = real_Total_Infected[start:end]\n",
        "real_Total_Deaths = real_Total_Deaths[start:end]\n",
        "real_New_Infected = real_New_Infected[start:end]\n",
        "real_New_Deaths = real_New_Deaths[start:end]\n",
        "# https://ourworldindata.org/coronavirus\n",
        "\n",
        "N = 8792500   #總人口數\n",
        "# https://worldpopulationreview.com/countries/israel-population"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 381
        },
        "id": "wtxZFDfBBI8U",
        "outputId": "876533b1-42b7-411d-8775-3ed183fc82bd"
      },
      "source": [
        "t = list(range(end-start))\n",
        "\n",
        "f1, ax1 = plt.subplots(1, 1, figsize=(10,5))\n",
        "\n",
        "ax1.plot(t, real_Total_Infected, 'b--', alpha=0.7, linewidth=2, label='Real Total Infected')\n",
        "ax1.plot(t, real_Total_Deaths, 'k--', alpha=0.7, linewidth=2, label='Real Total Deaths')\n",
        "\n",
        "ax1.set_xlabel('Time (days)', labelpad=16, size=16)\n",
        "ax1.set_ylabel('Populations (people)', labelpad=16, size=16)\n",
        "\n",
        "ax1.yaxis.set_tick_params(length=0)\n",
        "ax1.xaxis.set_tick_params(length=0)\n",
        "ax1.grid(b=True, which='major', c='w', lw=2, ls='-')\n",
        "legend = ax1.legend()\n",
        "legend.get_frame().set_alpha(0.5)\n",
        "for spine in ('top', 'right', 'bottom', 'left'):\n",
        "  ax1.spines[spine].set_visible(False)\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/html": [
              "\n",
              "\n",
              "<style>\n",
              "\n",
              "</style>\n",
              "\n",
              "<div id=\"fig_el621398363107224481164640752\"></div>\n",
              "<script>\n",
              "function mpld3_load_lib(url, callback){\n",
              "  var s = document.createElement('script');\n",
              "  s.src = url;\n",
              "  s.async = true;\n",
              "  s.onreadystatechange = s.onload = callback;\n",
              "  s.onerror = function(){console.warn(\"failed to load library \" + url);};\n",
              "  document.getElementsByTagName(\"head\")[0].appendChild(s);\n",
              "}\n",
              "\n",
              "if(typeof(mpld3) !== \"undefined\" && mpld3._mpld3IsLoaded){\n",
              "   // already loaded: just create the figure\n",
              "   !function(mpld3){\n",
              "       \n",
              "       mpld3.draw_figure(\"fig_el621398363107224481164640752\", {\"width\": 720.0, \"height\": 360.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-9.15, 192.15], \"ylim\": [-39069.8, 880987.8], \"xdomain\": [-9.15, 192.15], \"ydomain\": [-39069.8, 880987.8], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 10, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 7, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el62139836310623824\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", \"id\": \"el62139836310764368\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"data\", \"id\": \"el62139836310298128\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"id\": \"el62139836310338448\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"axes\", \"id\": \"el62139836310352336\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}], \"paths\": [{\"data\": \"data03\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"pathcodes\": [\"M\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"Z\"], \"id\": \"el62139836310337104\", \"dasharray\": \"none\", \"alpha\": 0.5, \"facecolor\": \"rgba(255, 255, 255, 0.5)\", \"edgecolor\": \"rgba(204, 204, 204, 0.5)\", \"edgewidth\": 1.0, \"zorder\": 1000000.0}], \"markers\": [], \"texts\": [{\"text\": \"Time (days)\", \"position\": [0.5, -0.1085356880058867], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"hanging\", \"rotation\": -0.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": \"el62139836327991888\"}, {\"text\": \"Populations (people)\", \"position\": [-0.10237455197132617, 0.5], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"auto\", \"rotation\": -90.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": \"el62139836468361872\"}, {\"text\": \"Real Total Infected\", \"position\": [0.06630824372759858, 0.9374540103016924], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el62139836310337936\"}, {\"text\": \"Real Total Deaths\", \"position\": [0.06630824372759858, 0.8822663723325976], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el62139836310339536\"}], \"collections\": [], \"images\": [], \"sharex\": [], \"sharey\": []}], \"data\": {\"data01\": [[0.0, 324961.0, 2751.0], [1.0, 325790.0, 2763.0], [2.0, 326585.0, 2770.0], [3.0, 327355.0, 2778.0], [4.0, 328129.0, 2784.0], [5.0, 328551.0, 2796.0], [6.0, 329316.0, 2813.0], [7.0, 330275.0, 2820.0], [8.0, 331132.0, 2826.0], [9.0, 332211.0, 2831.0], [10.0, 333296.0, 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              "   }(mpld3);\n",
              "}else if(typeof define === \"function\" && define.amd){\n",
              "   // require.js is available: use it to load d3/mpld3\n",
              "   require.config({paths: {d3: \"https://d3js.org/d3.v5\"}});\n",
              "   require([\"d3\"], function(d3){\n",
              "      window.d3 = d3;\n",
              "      mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
              "         \n",
              "         mpld3.draw_figure(\"fig_el621398363107224481164640752\", {\"width\": 720.0, \"height\": 360.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-9.15, 192.15], \"ylim\": [-39069.8, 880987.8], \"xdomain\": [-9.15, 192.15], \"ydomain\": [-39069.8, 880987.8], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 10, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 7, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el62139836310623824\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", \"id\": \"el62139836310764368\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"data\", \"id\": \"el62139836310298128\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"id\": \"el62139836310338448\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"axes\", \"id\": \"el62139836310352336\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}], \"paths\": [{\"data\": \"data03\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"pathcodes\": [\"M\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"Z\"], \"id\": \"el62139836310337104\", \"dasharray\": \"none\", \"alpha\": 0.5, \"facecolor\": \"rgba(255, 255, 255, 0.5)\", \"edgecolor\": \"rgba(204, 204, 204, 0.5)\", \"edgewidth\": 1.0, \"zorder\": 1000000.0}], \"markers\": [], \"texts\": [{\"text\": \"Time (days)\", \"position\": [0.5, -0.1085356880058867], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"hanging\", \"rotation\": -0.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": \"el62139836327991888\"}, {\"text\": \"Populations (people)\", \"position\": [-0.10237455197132617, 0.5], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"auto\", \"rotation\": -90.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": \"el62139836468361872\"}, {\"text\": \"Real Total Infected\", \"position\": [0.06630824372759858, 0.9374540103016924], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el62139836310337936\"}, {\"text\": \"Real Total Deaths\", \"position\": [0.06630824372759858, 0.8822663723325976], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el62139836310339536\"}], \"collections\": [], \"images\": [], \"sharex\": [], \"sharey\": []}], \"data\": {\"data01\": [[0.0, 324961.0, 2751.0], [1.0, 325790.0, 2763.0], [2.0, 326585.0, 2770.0], [3.0, 327355.0, 2778.0], [4.0, 328129.0, 2784.0], [5.0, 328551.0, 2796.0], [6.0, 329316.0, 2813.0], [7.0, 330275.0, 2820.0], [8.0, 331132.0, 2826.0], [9.0, 332211.0, 2831.0], [10.0, 333296.0, 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6353.0], [162.0, 838217.0, 6359.0], [163.0, 838323.0, 6361.0], [164.0, 838407.0, 6362.0], [165.0, 838481.0, 6363.0], [166.0, 838481.0, 6363.0], [167.0, 838554.0, 6366.0], [168.0, 838621.0, 6367.0], [169.0, 838697.0, 6369.0], [170.0, 838767.0, 6370.0], [171.0, 838828.0, 6374.0], [172.0, 838858.0, 6375.0], [173.0, 838886.0, 6376.0], [174.0, 838894.0, 6377.0], [175.0, 838957.0, 6378.0], [176.0, 839000.0, 6378.0], [177.0, 839030.0, 6379.0], [178.0, 839059.0, 6379.0], [179.0, 839079.0, 6380.0], [180.0, 839118.0, 6381.0], [181.0, 839119.0, 6382.0], [182.0, 839159.0, 6389.0], [183.0, 839167.0, 6392.0]], \"data02\": [[0.01612903225806453, 0.9503311258278145, 0.8951434878587198], [0.051971326164874564, 0.9503311258278145, 0.8951434878587198]], \"data03\": [[0.01254480286738352, 0.8601913171449596], [0.23431899641577061, 0.8601913171449596], [0.2379032258064516, 0.8601913171449596], [0.2379032258064516, 0.8675496688741722], [0.2379032258064516, 0.9742457689477557], [0.2379032258064516, 0.9816041206769683], [0.23431899641577061, 0.9816041206769683], [0.01254480286738352, 0.9816041206769683], [0.00896057347670251, 0.9816041206769683], [0.00896057347670251, 0.9742457689477557], [0.00896057347670251, 0.8675496688741722], [0.00896057347670251, 0.8601913171449596], [0.01254480286738352, 0.8601913171449596]]}, \"id\": \"el62139836310722448\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}]});\n",
              "      });\n",
              "    });\n",
              "}else{\n",
              "    // require.js not available: dynamically load d3 & mpld3\n",
              "    mpld3_load_lib(\"https://d3js.org/d3.v5.js\", function(){\n",
              "         mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
              "                 \n",
              "                 mpld3.draw_figure(\"fig_el621398363107224481164640752\", {\"width\": 720.0, \"height\": 360.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-9.15, 192.15], \"ylim\": [-39069.8, 880987.8], \"xdomain\": [-9.15, 192.15], \"ydomain\": [-39069.8, 880987.8], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 10, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 7, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el62139836310623824\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", \"id\": \"el62139836310764368\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"data\", \"id\": \"el62139836310298128\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"id\": \"el62139836310338448\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"axes\", \"id\": \"el62139836310352336\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}], \"paths\": [{\"data\": \"data03\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"pathcodes\": [\"M\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"Z\"], \"id\": \"el62139836310337104\", \"dasharray\": \"none\", \"alpha\": 0.5, \"facecolor\": \"rgba(255, 255, 255, 0.5)\", \"edgecolor\": \"rgba(204, 204, 204, 0.5)\", \"edgewidth\": 1.0, \"zorder\": 1000000.0}], \"markers\": [], \"texts\": [{\"text\": \"Time (days)\", \"position\": [0.5, -0.1085356880058867], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"hanging\", \"rotation\": -0.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": \"el62139836327991888\"}, {\"text\": \"Populations (people)\", \"position\": [-0.10237455197132617, 0.5], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"auto\", \"rotation\": -90.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": \"el62139836468361872\"}, {\"text\": \"Real Total Infected\", \"position\": [0.06630824372759858, 0.9374540103016924], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el62139836310337936\"}, {\"text\": \"Real Total Deaths\", \"position\": [0.06630824372759858, 0.8822663723325976], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el62139836310339536\"}], \"collections\": [], \"images\": [], \"sharex\": [], \"sharey\": []}], \"data\": {\"data01\": [[0.0, 324961.0, 2751.0], [1.0, 325790.0, 2763.0], [2.0, 326585.0, 2770.0], [3.0, 327355.0, 2778.0], [4.0, 328129.0, 2784.0], [5.0, 328551.0, 2796.0], [6.0, 329316.0, 2813.0], [7.0, 330275.0, 2820.0], [8.0, 331132.0, 2826.0], [9.0, 332211.0, 2831.0], [10.0, 333296.0, 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6353.0], [162.0, 838217.0, 6359.0], [163.0, 838323.0, 6361.0], [164.0, 838407.0, 6362.0], [165.0, 838481.0, 6363.0], [166.0, 838481.0, 6363.0], [167.0, 838554.0, 6366.0], [168.0, 838621.0, 6367.0], [169.0, 838697.0, 6369.0], [170.0, 838767.0, 6370.0], [171.0, 838828.0, 6374.0], [172.0, 838858.0, 6375.0], [173.0, 838886.0, 6376.0], [174.0, 838894.0, 6377.0], [175.0, 838957.0, 6378.0], [176.0, 839000.0, 6378.0], [177.0, 839030.0, 6379.0], [178.0, 839059.0, 6379.0], [179.0, 839079.0, 6380.0], [180.0, 839118.0, 6381.0], [181.0, 839119.0, 6382.0], [182.0, 839159.0, 6389.0], [183.0, 839167.0, 6392.0]], \"data02\": [[0.01612903225806453, 0.9503311258278145, 0.8951434878587198], [0.051971326164874564, 0.9503311258278145, 0.8951434878587198]], \"data03\": [[0.01254480286738352, 0.8601913171449596], [0.23431899641577061, 0.8601913171449596], [0.2379032258064516, 0.8601913171449596], [0.2379032258064516, 0.8675496688741722], [0.2379032258064516, 0.9742457689477557], [0.2379032258064516, 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              "            })\n",
              "         });\n",
              "}\n",
              "</script>"
            ],
            "text/plain": [
              "<Figure size 720x360 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 381
        },
        "id": "NKg7NQm9_yqS",
        "outputId": "71ac066b-70b8-4eca-e07f-f58fa67f5cd0"
      },
      "source": [
        "t = list(range(end-start))\n",
        "\n",
        "f1, ax1 = plt.subplots(1, 1, figsize=(10,5))\n",
        "\n",
        "ax1.plot(t, real_New_Infected, 'b--', alpha=0.7, linewidth=2, label='Real New Infected')\n",
        "ax1.plot(t, real_New_Deaths, 'k--', alpha=0.7, linewidth=2, label='Real New Deaths')\n",
        "\n",
        "ax1.set_xlabel('Time (days)', labelpad=16, size=16)\n",
        "ax1.set_ylabel('Populations (people)', labelpad=16, size=16)\n",
        "\n",
        "ax1.yaxis.set_tick_params(length=0)\n",
        "ax1.xaxis.set_tick_params(length=0)\n",
        "ax1.grid(b=True, which='major', c='w', lw=2, ls='-')\n",
        "legend = ax1.legend()\n",
        "legend.get_frame().set_alpha(0.5)\n",
        "for spine in ('top', 'right', 'bottom', 'left'):\n",
        "  ax1.spines[spine].set_visible(False)\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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              "if(typeof(mpld3) !== \"undefined\" && mpld3._mpld3IsLoaded){\n",
              "   // already loaded: just create the figure\n",
              "   !function(mpld3){\n",
              "       \n",
              "       mpld3.draw_figure(\"fig_el621398363100892325499737142\", {\"width\": 720.0, \"height\": 360.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-9.15, 192.15], \"ylim\": [-652.35, 12533.35], \"xdomain\": [-9.15, 192.15], \"ydomain\": [-652.35, 12533.35], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 10, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 9, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": 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\"el62139836310030288\"}, {\"text\": \"Real New Infected\", \"position\": [0.8219086021505376, 0.9374540103016924], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el62139836309757648\"}, {\"text\": \"Real New Deaths\", \"position\": [0.8219086021505376, 0.8822663723325976], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el62139836309779792\"}], \"collections\": [], \"images\": [], \"sharex\": [], \"sharey\": []}], \"data\": {\"data01\": [[0.0, 873.0, 7.0], [1.0, 829.0, 12.0], [2.0, 795.0, 7.0], [3.0, 770.0, 8.0], [4.0, 774.0, 6.0], [5.0, 422.0, 12.0], [6.0, 765.0, 17.0], [7.0, 959.0, 7.0], [8.0, 857.0, 6.0], [9.0, 1079.0, 5.0], [10.0, 1085.0, 9.0], [11.0, 1032.0, 6.0], [12.0, 580.0, 10.0], [13.0, 1025.0, 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53.0], [60.0, 5235.0, 40.0], [61.0, 8450.0, 49.0], [62.0, 8190.0, 46.0], [63.0, 6560.0, 39.0], [64.0, 7380.0, 36.0], [65.0, 10213.0, 101.0], [66.0, 7027.0, 64.0], [67.0, 6159.0, 21.0], [68.0, 4933.0, 75.0], [69.0, 3442.0, 78.0], [70.0, 3666.0, 79.0], [71.0, 8587.0, 15.0], [72.0, 11934.0, 92.0], [73.0, 7305.0, 64.0], [74.0, 5096.0, 31.0], [75.0, 4798.0, 38.0], [76.0, 4646.0, 58.0], [77.0, 8811.0, 20.0], [78.0, 7732.0, 71.0], [79.0, 8896.0, 61.0], [80.0, 6744.0, 53.0], [81.0, 5238.0, 19.0], [82.0, 4727.0, 51.0], [83.0, 6518.0, 50.0], [84.0, 4427.0, 50.0], [85.0, 7191.0, 45.0], [86.0, 6010.0, 41.0], [87.0, 5083.0, 26.0], [88.0, 3934.0, 21.0], [89.0, 3100.0, 47.0], [90.0, 2534.0, 37.0], [91.0, 5913.0, 26.0], [92.0, 4282.0, 27.0], [93.0, 4054.0, 32.0], [94.0, 3305.0, 36.0], [95.0, 2579.0, 17.0], [96.0, 0.0, 0.0], [97.0, 5530.0, 51.0], [98.0, 4955.0, 19.0], [99.0, 4574.0, 38.0], [100.0, 4184.0, 26.0], [101.0, 3970.0, 27.0], [102.0, 3054.0, 10.0], [103.0, 2555.0, 35.0], [104.0, 2472.0, 20.0], [105.0, 4151.0, 8.0], [106.0, 5260.0, 30.0], [107.0, 4267.0, 13.0], [108.0, 3922.0, 19.0], [109.0, 3058.0, 12.0], [110.0, 3262.0, 22.0], [111.0, 1848.0, 35.0], [112.0, 3541.0, 26.0], [113.0, 3146.0, 16.0], [114.0, 3230.0, 17.0], [115.0, 2758.0, 17.0], [116.0, 1948.0, 13.0], [117.0, 1601.0, 8.0], [118.0, 1178.0, 23.0], [119.0, 1936.0, 19.0], [120.0, 1790.0, 18.0], [121.0, 1475.0, 9.0], [122.0, 1384.0, 12.0], [123.0, 1047.0, 4.0], [124.0, 611.0, 9.0], [125.0, 552.0, 10.0], [126.0, 992.0, 17.0], [127.0, 925.0, 13.0], [128.0, 339.0, 32.0], [129.0, 817.0, 9.0], [130.0, 538.0, 2.0], [131.0, 0.0, 0.0], [132.0, 541.0, 20.0], [133.0, 201.0, 12.0], [134.0, 514.0, -4.0], [135.0, 466.0, 16.0], [136.0, 351.0, 11.0], [137.0, 251.0, 0.0], [138.0, 363.0, 16.0], [139.0, 177.0, 7.0], [140.0, 356.0, 5.0], [141.0, 317.0, 9.0], [142.0, 296.0, 9.0], [143.0, 270.0, 13.0], [144.0, 188.0, 1.0], [145.0, 139.0, 12.0], [146.0, 120.0, 4.0], [147.0, 225.0, 8.0], [148.0, 176.0, 5.0], [149.0, 256.0, 3.0], [150.0, 312.0, 3.0], [151.0, 34.0, 1.0], [152.0, -53.0, 15.0], [153.0, 164.0, 4.0], [154.0, 171.0, 6.0], [155.0, 139.0, 4.0], [156.0, 135.0, 1.0], [157.0, 315.0, 0.0], [158.0, 85.0, 0.0], [159.0, 82.0, 4.0], [160.0, 50.0, 2.0], [161.0, 83.0, 1.0], [162.0, 110.0, 6.0], [163.0, 106.0, 2.0], [164.0, 84.0, 1.0], [165.0, 74.0, 1.0], [166.0, 0.0, 0.0], [167.0, 73.0, 3.0], [168.0, 67.0, 1.0], [169.0, 76.0, 2.0], [170.0, 70.0, 1.0], [171.0, 61.0, 4.0], [172.0, 30.0, 1.0], [173.0, 28.0, 1.0], [174.0, 8.0, 1.0], [175.0, 63.0, 1.0], [176.0, 43.0, 0.0], [177.0, 30.0, 1.0], [178.0, 29.0, 0.0], [179.0, 20.0, 1.0], [180.0, 39.0, 1.0], [181.0, 1.0, 1.0], [182.0, 40.0, 7.0], [183.0, 8.0, 3.0]], \"data02\": [[0.7717293906810037, 0.9503311258278145, 0.8951434878587198], [0.8075716845878137, 0.9503311258278145, 0.8951434878587198]], \"data03\": [[0.7681451612903226, 0.8601913171449596], [0.9874551971326165, 0.8601913171449596], [0.9910394265232975, 0.8601913171449596], [0.9910394265232975, 0.8675496688741722], [0.9910394265232975, 0.9742457689477557], [0.9910394265232975, 0.9816041206769683], [0.9874551971326165, 0.9816041206769683], [0.7681451612903226, 0.9816041206769683], [0.7645609318996416, 0.9816041206769683], [0.7645609318996416, 0.9742457689477557], [0.7645609318996416, 0.8675496688741722], [0.7645609318996416, 0.8601913171449596], [0.7681451612903226, 0.8601913171449596]]}, \"id\": \"el62139836310089232\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}]});\n",
              "   }(mpld3);\n",
              "}else if(typeof define === \"function\" && define.amd){\n",
              "   // require.js is available: use it to load d3/mpld3\n",
              "   require.config({paths: {d3: \"https://d3js.org/d3.v5\"}});\n",
              "   require([\"d3\"], function(d3){\n",
              "      window.d3 = d3;\n",
              "      mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
              "         \n",
              "         mpld3.draw_figure(\"fig_el621398363100892325499737142\", {\"width\": 720.0, \"height\": 360.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-9.15, 192.15], \"ylim\": [-652.35, 12533.35], \"xdomain\": [-9.15, 192.15], \"ydomain\": [-652.35, 12533.35], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 10, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 9, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el62139836310387280\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", \"id\": \"el62139836310163792\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"data\", \"id\": \"el62139836309755600\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"id\": \"el62139836309778704\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"axes\", \"id\": \"el62139836309780240\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}], \"paths\": [{\"data\": \"data03\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"pathcodes\": [\"M\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"Z\"], \"id\": \"el62139836309756816\", \"dasharray\": \"none\", \"alpha\": 0.5, \"facecolor\": \"rgba(255, 255, 255, 0.5)\", \"edgecolor\": \"rgba(204, 204, 204, 0.5)\", \"edgewidth\": 1.0, \"zorder\": 1000000.0}], \"markers\": [], \"texts\": [{\"text\": \"Time (days)\", \"position\": [0.5, -0.1085356880058867], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"hanging\", \"rotation\": -0.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": \"el62139836310029776\"}, {\"text\": \"Populations (people)\", \"position\": [-0.0913978494623656, 0.5], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"auto\", \"rotation\": -90.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": \"el62139836310030288\"}, {\"text\": \"Real New Infected\", \"position\": [0.8219086021505376, 0.9374540103016924], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el62139836309757648\"}, {\"text\": \"Real New Deaths\", \"position\": [0.8219086021505376, 0.8822663723325976], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el62139836309779792\"}], \"collections\": [], \"images\": [], \"sharex\": [], \"sharey\": []}], \"data\": {\"data01\": [[0.0, 873.0, 7.0], [1.0, 829.0, 12.0], [2.0, 795.0, 7.0], [3.0, 770.0, 8.0], [4.0, 774.0, 6.0], [5.0, 422.0, 12.0], [6.0, 765.0, 17.0], [7.0, 959.0, 7.0], [8.0, 857.0, 6.0], [9.0, 1079.0, 5.0], [10.0, 1085.0, 9.0], [11.0, 1032.0, 6.0], [12.0, 580.0, 10.0], [13.0, 1025.0, 8.0], [14.0, 1258.0, 8.0], [15.0, 1198.0, 10.0], [16.0, 1579.0, 4.0], [17.0, 1438.0, 9.0], [18.0, 695.0, 1.0], [19.0, 1725.0, 13.0], [20.0, 1080.0, 8.0], [21.0, 1891.0, 7.0], [22.0, 1488.0, 8.0], [23.0, 1986.0, 2.0], [24.0, 2126.0, 27.0], [25.0, 872.0, 8.0], [26.0, 2517.0, 14.0], [27.0, 1390.0, 16.0], [28.0, 2330.0, 5.0], [29.0, 1124.0, 10.0], [30.0, 4412.0, 20.0], [31.0, 2933.0, 16.0], [32.0, 2177.0, 7.0], [33.0, 2734.0, 17.0], [34.0, 1874.0, 25.0], [35.0, 3499.0, 12.0], [36.0, 4228.0, 25.0], [37.0, 2535.0, 14.0], [38.0, 4656.0, 21.0], [39.0, 4713.0, 15.0], [40.0, 4273.0, 24.0], [41.0, 2806.0, 16.0], [42.0, 5815.0, 30.0], [43.0, 5113.0, 36.0], [44.0, 4186.0, 15.0], [45.0, 6678.0, 18.0], [46.0, 5248.0, 31.0], [47.0, 6289.0, 36.0], [48.0, 6743.0, 24.0], [49.0, 6631.0, 29.0], [50.0, 7966.0, 51.0], [51.0, 7309.0, 33.0], [52.0, 7600.0, 23.0], [53.0, 6309.0, 44.0], [54.0, 8077.0, 49.0], [55.0, 5885.0, 26.0], [56.0, 9754.0, 33.0], [57.0, 8990.0, 67.0], [58.0, 9997.0, 46.0], [59.0, 9754.0, 53.0], [60.0, 5235.0, 40.0], [61.0, 8450.0, 49.0], [62.0, 8190.0, 46.0], [63.0, 6560.0, 39.0], [64.0, 7380.0, 36.0], [65.0, 10213.0, 101.0], [66.0, 7027.0, 64.0], [67.0, 6159.0, 21.0], [68.0, 4933.0, 75.0], [69.0, 3442.0, 78.0], [70.0, 3666.0, 79.0], [71.0, 8587.0, 15.0], [72.0, 11934.0, 92.0], [73.0, 7305.0, 64.0], [74.0, 5096.0, 31.0], [75.0, 4798.0, 38.0], [76.0, 4646.0, 58.0], [77.0, 8811.0, 20.0], [78.0, 7732.0, 71.0], [79.0, 8896.0, 61.0], [80.0, 6744.0, 53.0], [81.0, 5238.0, 19.0], [82.0, 4727.0, 51.0], [83.0, 6518.0, 50.0], [84.0, 4427.0, 50.0], [85.0, 7191.0, 45.0], [86.0, 6010.0, 41.0], [87.0, 5083.0, 26.0], [88.0, 3934.0, 21.0], [89.0, 3100.0, 47.0], [90.0, 2534.0, 37.0], [91.0, 5913.0, 26.0], [92.0, 4282.0, 27.0], [93.0, 4054.0, 32.0], [94.0, 3305.0, 36.0], [95.0, 2579.0, 17.0], [96.0, 0.0, 0.0], [97.0, 5530.0, 51.0], [98.0, 4955.0, 19.0], [99.0, 4574.0, 38.0], [100.0, 4184.0, 26.0], [101.0, 3970.0, 27.0], [102.0, 3054.0, 10.0], [103.0, 2555.0, 35.0], [104.0, 2472.0, 20.0], [105.0, 4151.0, 8.0], [106.0, 5260.0, 30.0], [107.0, 4267.0, 13.0], [108.0, 3922.0, 19.0], [109.0, 3058.0, 12.0], [110.0, 3262.0, 22.0], [111.0, 1848.0, 35.0], [112.0, 3541.0, 26.0], [113.0, 3146.0, 16.0], [114.0, 3230.0, 17.0], [115.0, 2758.0, 17.0], [116.0, 1948.0, 13.0], [117.0, 1601.0, 8.0], [118.0, 1178.0, 23.0], [119.0, 1936.0, 19.0], [120.0, 1790.0, 18.0], [121.0, 1475.0, 9.0], [122.0, 1384.0, 12.0], [123.0, 1047.0, 4.0], [124.0, 611.0, 9.0], [125.0, 552.0, 10.0], [126.0, 992.0, 17.0], [127.0, 925.0, 13.0], [128.0, 339.0, 32.0], [129.0, 817.0, 9.0], [130.0, 538.0, 2.0], [131.0, 0.0, 0.0], [132.0, 541.0, 20.0], [133.0, 201.0, 12.0], [134.0, 514.0, -4.0], [135.0, 466.0, 16.0], [136.0, 351.0, 11.0], [137.0, 251.0, 0.0], [138.0, 363.0, 16.0], [139.0, 177.0, 7.0], [140.0, 356.0, 5.0], [141.0, 317.0, 9.0], [142.0, 296.0, 9.0], [143.0, 270.0, 13.0], [144.0, 188.0, 1.0], [145.0, 139.0, 12.0], [146.0, 120.0, 4.0], [147.0, 225.0, 8.0], [148.0, 176.0, 5.0], [149.0, 256.0, 3.0], [150.0, 312.0, 3.0], [151.0, 34.0, 1.0], [152.0, -53.0, 15.0], [153.0, 164.0, 4.0], [154.0, 171.0, 6.0], [155.0, 139.0, 4.0], [156.0, 135.0, 1.0], [157.0, 315.0, 0.0], [158.0, 85.0, 0.0], [159.0, 82.0, 4.0], [160.0, 50.0, 2.0], [161.0, 83.0, 1.0], [162.0, 110.0, 6.0], [163.0, 106.0, 2.0], [164.0, 84.0, 1.0], [165.0, 74.0, 1.0], [166.0, 0.0, 0.0], [167.0, 73.0, 3.0], [168.0, 67.0, 1.0], [169.0, 76.0, 2.0], [170.0, 70.0, 1.0], [171.0, 61.0, 4.0], [172.0, 30.0, 1.0], [173.0, 28.0, 1.0], [174.0, 8.0, 1.0], [175.0, 63.0, 1.0], [176.0, 43.0, 0.0], [177.0, 30.0, 1.0], [178.0, 29.0, 0.0], [179.0, 20.0, 1.0], [180.0, 39.0, 1.0], [181.0, 1.0, 1.0], [182.0, 40.0, 7.0], [183.0, 8.0, 3.0]], \"data02\": [[0.7717293906810037, 0.9503311258278145, 0.8951434878587198], [0.8075716845878137, 0.9503311258278145, 0.8951434878587198]], \"data03\": [[0.7681451612903226, 0.8601913171449596], [0.9874551971326165, 0.8601913171449596], [0.9910394265232975, 0.8601913171449596], [0.9910394265232975, 0.8675496688741722], [0.9910394265232975, 0.9742457689477557], [0.9910394265232975, 0.9816041206769683], [0.9874551971326165, 0.9816041206769683], [0.7681451612903226, 0.9816041206769683], [0.7645609318996416, 0.9816041206769683], [0.7645609318996416, 0.9742457689477557], [0.7645609318996416, 0.8675496688741722], [0.7645609318996416, 0.8601913171449596], [0.7681451612903226, 0.8601913171449596]]}, \"id\": \"el62139836310089232\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}]});\n",
              "      });\n",
              "    });\n",
              "}else{\n",
              "    // require.js not available: dynamically load d3 & mpld3\n",
              "    mpld3_load_lib(\"https://d3js.org/d3.v5.js\", function(){\n",
              "         mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
              "                 \n",
              "                 mpld3.draw_figure(\"fig_el621398363100892325499737142\", {\"width\": 720.0, \"height\": 360.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-9.15, 192.15], \"ylim\": [-652.35, 12533.35], \"xdomain\": [-9.15, 192.15], \"ydomain\": [-652.35, 12533.35], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 10, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 9, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": 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1000002.0, \"drawstyle\": \"default\"}], \"paths\": [{\"data\": \"data03\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"pathcodes\": [\"M\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"Z\"], \"id\": \"el62139836309756816\", \"dasharray\": \"none\", \"alpha\": 0.5, \"facecolor\": \"rgba(255, 255, 255, 0.5)\", \"edgecolor\": \"rgba(204, 204, 204, 0.5)\", \"edgewidth\": 1.0, \"zorder\": 1000000.0}], \"markers\": [], \"texts\": [{\"text\": \"Time (days)\", \"position\": [0.5, -0.1085356880058867], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"hanging\", \"rotation\": -0.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": \"el62139836310029776\"}, {\"text\": \"Populations (people)\", \"position\": [-0.0913978494623656, 0.5], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"auto\", \"rotation\": -90.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": 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              "            })\n",
              "         });\n",
              "}\n",
              "</script>"
            ],
            "text/plain": [
              "<Figure size 720x360 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "4vP9stxsBUgc"
      },
      "source": [
        "作圖程式 - 基本模型"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "h__Zz9hrBOAN"
      },
      "source": [
        "def plot_SIHRD(t, S, I, H, R, D, show = ['S', 'I', 'H', 'R', 'D', 'pTI', 'pTD', 'rTI', 'rTD']):\n",
        "  predicted_Total_Infected = []\n",
        "  for i in range(days):\n",
        "    predicted_Total_Infected.append(H[i]+R[i]+D[i])\n",
        "  #計算總感染人數 \n",
        "  \n",
        "  if ('S' in show) or ('I' in show) or ('R' in show) or ('H' in show) or ('D' in show):\n",
        "    f, ax = plt.subplots(1,1,figsize=(10,5))\n",
        "    if 'S' in show:\n",
        "      ax.plot(t, S, 'b', alpha=0.7, linewidth=2, label='Susceptible')\n",
        "    if 'I' in show:\n",
        "      ax.plot(t, I, 'r', alpha=0.7, linewidth=2, label='Infected')\n",
        "    if 'H' in show:\n",
        "      ax.plot(t, H, 'y', alpha=0.7, linewidth=2, label='Hospitalized')\n",
        "    if 'R' in show:\n",
        "      ax.plot(t, R, 'g', alpha=0.7, linewidth=2, label='Recovered')\n",
        "    if 'D' in show:\n",
        "      ax.plot(t, D, 'k', alpha=0.7, linewidth=2, label='Dead')\n",
        "\n",
        "    ax.set_xlabel('Time (days)', labelpad=16, size=16)\n",
        "    ax.set_ylabel('Populations (people)', labelpad=16, size=16)\n",
        "\n",
        "    ax.yaxis.set_tick_params(length=0)\n",
        "    ax.xaxis.set_tick_params(length=0)\n",
        "    ax.grid(b=True, which='major', c='w', lw=2, ls='-')\n",
        "    legend = ax.legend(borderpad=2.0)\n",
        "    legend.get_frame().set_alpha(0.5)\n",
        "    for spine in ('top', 'right', 'bottom', 'left'):\n",
        "        ax.spines[spine].set_visible(False)\n",
        "    plt.show();\n",
        "\n",
        "  # 針對總感染人數與總死亡人數的數據作圖\n",
        "  if ('rTI' in show) or ('rTD' in show) or ('pTI' in show) or ('pTD' in show):\n",
        "    f1, ax1 = plt.subplots(1,1,figsize=(10,5))\n",
        "\n",
        "    if 'rTI' in show:\n",
        "      ax1.plot(t, real_Total_Infected, 'b--', alpha=0.7, linewidth=2, label='Real Total Infected')\n",
        "    if 'rTD' in show:\n",
        "      ax1.plot(t, real_Total_Deaths, 'k--', alpha=0.7, linewidth=2, label='Real Total Deaths')\n",
        "    \n",
        "    if 'pTI' in show:\n",
        "      ax1.plot(t, predicted_Total_Infected, 'b', alpha=0.7, linewidth=2, label='Predicted Total Infected')  \n",
        "    if 'pTD' in show:\n",
        "      ax1.plot(t, D, 'k', alpha=0.7, linewidth=2, label='Predicted Total Deaths')\n",
        "\n",
        "    ax1.set_xlabel('Time (days)', labelpad=16, size=16)\n",
        "    ax1.set_ylabel('Populations (people)', labelpad=16, size=16)\n",
        "\n",
        "    ax1.yaxis.set_tick_params(length=0)\n",
        "    ax1.xaxis.set_tick_params(length=0)\n",
        "    ax1.grid(b=True, which='major', c='w', lw=2, ls='-')\n",
        "    legend = ax1.legend()\n",
        "    legend.get_frame().set_alpha(0.5)\n",
        "    for spine in ('top', 'right', 'bottom', 'left'):\n",
        "      ax1.spines[spine].set_visible(False)\n",
        "    plt.show();"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "jkw3-5pIBVwL"
      },
      "source": [
        "模擬程式 - 基本模型"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "wVkia6UBBVXT"
      },
      "source": [
        "def get_diff_SIHRD(populations, alpha, beta, r_I, r_H, eta):\n",
        "    (S, I, H, R, D) = populations\n",
        "    n = N - H - D\n",
        "\n",
        "    dS = -alpha * S * I / n\n",
        "    dI = alpha * S * I / n - beta * I - r_I *I\n",
        "    dH = beta * I - r_H * H - eta * H\n",
        "    dR = r_I *I + r_H * H\n",
        "    dD = eta * H\n",
        "    return (dS, dI, dH, dR, dD)\n",
        "\n",
        "def mimic_SIHRD(days, initial, alpha, beta, r_I, r_H, eta):\n",
        "  t = np.linspace(0, days-1, days)\n",
        "  [S0, I0, H0, R0, D0] = initial\n",
        "\n",
        "  S = [S0]\n",
        "  I = [I0]\n",
        "  H = [H0]\n",
        "  R = [R0]\n",
        "  D = [D0]\n",
        "  for i in range(days-1):\n",
        "    populations = [S[-1],I[-1],H[-1],R[-1],D[-1]]\n",
        "    (dS, dI, dH, dR, dD) = get_diff_SIHRD(populations, alpha, beta, r_I, r_H, eta)\n",
        "    S.append(S[-1]+dS)\n",
        "    I.append(I[-1]+dI)\n",
        "    H.append(H[-1]+dH)\n",
        "    R.append(R[-1]+dR)\n",
        "    D.append(D[-1]+dD)\n",
        "\n",
        "  return (t, S, I, H, R, D) #以陣列回傳"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Q1ZGIcTzBZSN"
      },
      "source": [
        "參數最佳化 - 基本模型"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "FH7MUVi2Bf49",
        "outputId": "f183780f-a5e6-47bf-c300-5a85c384ec9f"
      },
      "source": [
        "#[alpha, beta, r_I, r_H, eta, I0, H0] = [0.5]*5 + [100]*2\n",
        "\n",
        "def error_function_SIHRD(parameters):\n",
        "  global alpha, beta, r_I, r_H, eta, I0, H0\n",
        "  alpha = parameters[0]\n",
        "  beta = parameters[1]\n",
        "  r_I = parameters[2]\n",
        "  r_H = parameters[3]\n",
        "  eta = parameters[4]\n",
        "\n",
        "  I0 = parameters[5]\n",
        "  H0 = parameters[6] \n",
        "  D0 = real_Total_Deaths[0]\n",
        "  R0 = real_Total_Infected[0] - H0 - D0\n",
        "  S0 = N - I0 - H0 - R0 - D0\n",
        "\n",
        "  #(S0, I0, H0, R0, D0) = (N-100-308500, 100, 0, 308500, real_Total_Deaths[0])  #初始條件\n",
        "  (t, S, I, H, R, D) = mimic_SIHRD(days, [S0, I0, H0, R0, D0], alpha, beta, r_I, r_H, eta)\n",
        "\n",
        "  predicted_Total_Infected = []\n",
        "  for i in range(days):\n",
        "    predicted_Total_Infected.append(H[i]+R[i]+D[i])\n",
        "\n",
        "  error = 0\n",
        "  for i in range(days):\n",
        "    error += (real_Total_Infected[i]-predicted_Total_Infected[i])**2\n",
        "    error += (real_Total_Deaths[i]-D[i])**2 *50\n",
        "  for i in parameters:\n",
        "    #error += ((0.5*i-1.001)**10)*1e10 #0.002-4.002\n",
        "    error += int(i<0.00)*10000000000000000\n",
        "  for i in [S0, I0, H0, R0, D0]:\n",
        "    error += int(i<0.00)*10000000000000000\n",
        "  return error\n",
        "\n",
        "for i in range(10):\n",
        "  Result = minimize(error_function_SIHRD, [alpha, beta, r_I, r_H, eta, I0, H0], method = 'Nelder-Mead', options={'maxiter':1e3})\n",
        "  print(Result.fun, list(Result.x))\n",
        "print()\n",
        "print(Result)\n",
        "\n",
        "#345477149332.8818 [9.65297127e-01 9.54343116e-01 2.83980828e-37 5.11318040e-02 7.18760596e-04 4.75331072e+04 1.85312100e+06]\n",
        "#87954355011.45221 [3.68637007e+00 3.55859168e+00 5.83652830e-75 9.64290040e-02 2.59292199e-03 9.77315022e+03 2.27442602e+03]\n",
        "#87954279835.42508 [3.6879514804483167, 3.560126119834436, 7.125457458862088e-72, 0.09635365177085178, 0.0025909882451290774, 9767.661672782437, 2447.6933332263734]\n",
        "\n",
        "#45320080338.062256\n",
        "#[2.69729989, 0.68149973, 1.84095632, 1.96874452, 0.06339744]"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "87954279835.42624 [3.6879514780983813, 3.560126117941137, 6.946957341358445e-72, 0.09635364801338532, 0.0025909881265743866, 9767.661600237663, 2447.711999519609]\n",
            "87954279835.42531 [3.6879514805089078, 3.560126119894388, 7.119890801156632e-72, 0.09635365169047705, 0.0025909882444787526, 9767.661675533382, 2447.692251701841]\n",
            "87954279835.42491 [3.6879514804483335, 3.5601261198344503, 7.125451774496678e-72, 0.09635365177085872, 0.0025909882451296135, 9767.661672782575, 2447.6933330961056]\n",
            "87954279835.42471 [3.687951480448332, 3.5601261198344494, 7.125451944435219e-72, 0.09635365177085711, 0.0025909882451295666, 9767.661672782588, 2447.6933331045398]\n",
            "87954279835.42534 [3.6879514804483167, 3.560126119834436, 7.125457390357309e-72, 0.09635365177085194, 0.00259098824512908, 9767.661672782433, 2447.693333226839]\n",
            "87954279835.42534 [3.6879514804483167, 3.560126119834436, 7.125457390343643e-72, 0.09635365177085194, 0.00259098824512908, 9767.661672782433, 2447.693333226863]\n",
            "87954279835.42508 [3.6879514804483167, 3.560126119834436, 7.125457456705324e-72, 0.09635365177085178, 0.0025909882451290774, 9767.661672782437, 2447.693333226395]\n",
            "87954279835.42508 [3.6879514804483167, 3.560126119834436, 7.125457458032569e-72, 0.09635365177085178, 0.0025909882451290774, 9767.661672782437, 2447.693333226379]\n",
            "87954279835.42508 [3.6879514804483167, 3.560126119834436, 7.125457458696184e-72, 0.09635365177085178, 0.0025909882451290774, 9767.661672782437, 2447.6933332263743]\n",
            "87954279835.42508 [3.6879514804483167, 3.560126119834436, 7.125457458862088e-72, 0.09635365177085178, 0.0025909882451290774, 9767.661672782437, 2447.6933332263734]\n",
            "\n",
            " final_simplex: (array([[3.68795148e+00, 3.56012612e+00, 7.12545746e-72, 9.63536518e-02,\n",
            "        2.59098825e-03, 9.76766167e+03, 2.44769333e+03],\n",
            "       [3.68795148e+00, 3.56012612e+00, 7.12545746e-72, 9.63536518e-02,\n",
            "        2.59098825e-03, 9.76766167e+03, 2.44769333e+03],\n",
            "       [3.68795148e+00, 3.56012612e+00, 7.12545746e-72, 9.63536518e-02,\n",
            "        2.59098825e-03, 9.76766167e+03, 2.44769333e+03],\n",
            "       [3.68795148e+00, 3.56012612e+00, 7.12545746e-72, 9.63536518e-02,\n",
            "        2.59098825e-03, 9.76766167e+03, 2.44769333e+03],\n",
            "       [3.68795148e+00, 3.56012612e+00, 7.12545746e-72, 9.63536518e-02,\n",
            "        2.59098825e-03, 9.76766167e+03, 2.44769333e+03],\n",
            "       [3.68795148e+00, 3.56012612e+00, 7.12545746e-72, 9.63536518e-02,\n",
            "        2.59098825e-03, 9.76766167e+03, 2.44769333e+03],\n",
            "       [3.68795148e+00, 3.56012612e+00, 7.12545746e-72, 9.63536518e-02,\n",
            "        2.59098825e-03, 9.76766167e+03, 2.44769333e+03],\n",
            "       [3.68795148e+00, 3.56012612e+00, 7.12545746e-72, 9.63536518e-02,\n",
            "        2.59098825e-03, 9.76766167e+03, 2.44769333e+03]]), array([8.79542798e+10, 8.79542798e+10, 8.79542798e+10, 8.79542798e+10,\n",
            "       8.79542798e+10, 8.79542798e+10, 8.79542798e+10, 8.79542798e+10]))\n",
            "           fun: 87954279835.42508\n",
            "       message: 'Optimization terminated successfully.'\n",
            "          nfev: 709\n",
            "           nit: 278\n",
            "        status: 0\n",
            "       success: True\n",
            "             x: array([3.68795148e+00, 3.56012612e+00, 7.12545746e-72, 9.63536518e-02,\n",
            "       2.59098825e-03, 9.76766167e+03, 2.44769333e+03])\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Zjv54gaDBiB8"
      },
      "source": [
        "參數設定與模擬作圖 - 基本模型"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "3HcYuU6XBkG8",
        "outputId": "41b3bc80-537d-475c-c5ce-58f8571f6d25"
      },
      "source": [
        "[alpha, beta, r_I, r_H, eta, I0, H0] = [3.68795148e+00, 3.56012612e+00, 7.12545746e-72, 9.63536518e-02, 2.59098825e-03, 9.76766167e+03, 2.44769333e+03]\n",
        "\n",
        "#(S0, I0, H0, R0, D0) = (N-100, 100, 0, 308500, real_Total_Deaths[0])  #初始條件\n",
        "D0 = real_Total_Deaths[0]\n",
        "R0 = real_Total_Infected[0] - H0 - D0\n",
        "S0 = N - I0 - H0 - R0 - D0\n",
        "(t, S, I, H, R, D) = mimic_SIHRD(days, [S0, I0, H0, R0, D0], alpha, beta, r_I, r_H, eta)\n",
        "\n",
        "plot_SIHRD(t, S, I, H, R, D, show = ['S', 'I', 'H', 'R', 'D', 'pTD', 'rTD' ,'pTI', 'rTI'])\n",
        "plot_SIHRD(t, S, I, H, R, D, show = ['pTD', 'rTD'])"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/html": [
              "\n",
              "\n",
              "<style>\n",
              "\n",
              "</style>\n",
              "\n",
              "<div id=\"fig_el671399556520468009009209138\"></div>\n",
              "<script>\n",
              "function mpld3_load_lib(url, callback){\n",
              "  var s = document.createElement('script');\n",
              "  s.src = url;\n",
              "  s.async = true;\n",
              "  s.onreadystatechange = s.onload = callback;\n",
              "  s.onerror = function(){console.warn(\"failed to load library \" + url);};\n",
              "  document.getElementsByTagName(\"head\")[0].appendChild(s);\n",
              "}\n",
              "\n",
              "if(typeof(mpld3) !== \"undefined\" && mpld3._mpld3IsLoaded){\n",
              "   // already loaded: just create the figure\n",
              "   !function(mpld3){\n",
              "       \n",
              "       mpld3.draw_figure(\"fig_el671399556520468009009209138\", {\"width\": 720.0, \"height\": 360.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-3.95, 82.95], \"ylim\": [-3303073.458510592, 69375044.13817954], \"xdomain\": [-3.95, 82.95], \"ydomain\": [-3303073.458510592, 69375044.13817954], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 11, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 9, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el67139955653395088\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", \"id\": \"el67139955651679952\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"data\", \"id\": \"el67139955651681296\", \"color\": \"#FF0000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"data\", \"id\": \"el67139955651680592\", \"color\": \"#BFBF00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"data\", \"id\": \"el67139955651720784\", \"color\": \"#007F00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 5, \"coordinates\": \"data\", \"id\": \"el67139955651722064\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"id\": \"el67139955651741456\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"axes\", \"id\": \"el67139955651743120\", \"color\": \"#FF0000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"axes\", \"id\": \"el67139955651773584\", \"color\": \"#BFBF00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"axes\", \"id\": \"el67139955651775312\", \"color\": \"#007F00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 5, \"coordinates\": \"axes\", \"id\": \"el67139955651801744\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}], \"paths\": [{\"data\": \"data03\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"pathcodes\": [\"M\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"Z\"], \"id\": \"el67139955651739984\", \"dasharray\": \"none\", \"alpha\": 0.5, \"facecolor\": \"rgba(255, 255, 255, 0.5)\", \"edgecolor\": \"rgba(204, 204, 204, 0.5)\", \"edgewidth\": 1.0, \"zorder\": 1000000.0}], \"markers\": [], \"texts\": [{\"text\": \"Time (days)\", \"position\": [0.5, -0.1085356880058867], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"hanging\", \"rotation\": -0.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": \"el67139955652092688\"}, {\"text\": \"Populations (people)\", \"position\": [-0.046370967741935484, 0.5], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"auto\", \"rotation\": -90.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": \"el67139955652094736\"}, {\"text\": \"Susceptible\", \"position\": [0.8454301075268819, 0.5993377483443709], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el67139955651741200\"}, {\"text\": \"Infected\", \"position\": [0.8454301075268819, 0.5441501103752759], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el67139955651742672\"}, {\"text\": \"Hospitalized\", \"position\": [0.8454301075268819, 0.488962472406181], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el67139955651773136\"}, {\"text\": \"Recovered\", \"position\": [0.8454301075268819, 0.43377483443708614], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el67139955651774864\"}, {\"text\": \"Dead\", \"position\": [0.8454301075268819, 0.37858719646799116], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el67139955651801232\"}], 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[0.9910394265232975, 0.6949963208241354], [0.9910394265232975, 0.702354672553348], [0.9874551971326165, 0.702354672553348], [0.7629928315412187, 0.702354672553348], [0.7594086021505376, 0.702354672553348], [0.7594086021505376, 0.6949963208241354], [0.7594086021505376, 0.30500367917586463], [0.7594086021505376, 0.29764532744665195], [0.7629928315412187, 0.29764532744665195]]}, \"id\": \"el67139955652046800\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}]});\n",
              "   }(mpld3);\n",
              "}else if(typeof define === \"function\" && define.amd){\n",
              "   // require.js is available: use it to load d3/mpld3\n",
              "   require.config({paths: {d3: \"https://d3js.org/d3.v5\"}});\n",
              "   require([\"d3\"], function(d3){\n",
              "      window.d3 = d3;\n",
              "      mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
              "         \n",
              "         mpld3.draw_figure(\"fig_el671399556520468009009209138\", {\"width\": 720.0, \"height\": 360.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-3.95, 82.95], \"ylim\": [-3303073.458510592, 69375044.13817954], \"xdomain\": [-3.95, 82.95], \"ydomain\": [-3303073.458510592, 69375044.13817954], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 11, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 9, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, 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-0.1085356880058867], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"hanging\", \"rotation\": -0.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": \"el67139955652092688\"}, {\"text\": \"Populations (people)\", \"position\": [-0.046370967741935484, 0.5], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"auto\", \"rotation\": -90.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": \"el67139955652094736\"}, {\"text\": \"Susceptible\", \"position\": [0.8454301075268819, 0.5993377483443709], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el67139955651741200\"}, {\"text\": \"Infected\", \"position\": [0.8454301075268819, 0.5441501103752759], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, 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[0.9910394265232975, 0.6949963208241354], [0.9910394265232975, 0.702354672553348], [0.9874551971326165, 0.702354672553348], [0.7629928315412187, 0.702354672553348], [0.7594086021505376, 0.702354672553348], [0.7594086021505376, 0.6949963208241354], [0.7594086021505376, 0.30500367917586463], [0.7594086021505376, 0.29764532744665195], [0.7629928315412187, 0.29764532744665195]]}, \"id\": \"el67139955652046800\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}]});\n",
              "      });\n",
              "    });\n",
              "}else{\n",
              "    // require.js not available: dynamically load d3 & mpld3\n",
              "    mpld3_load_lib(\"https://d3js.org/d3.v5.js\", function(){\n",
              "         mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
              "                 \n",
              "                 mpld3.draw_figure(\"fig_el671399556520468009009209138\", {\"width\": 720.0, \"height\": 360.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-3.95, 82.95], \"ylim\": [-3303073.458510592, 69375044.13817954], \"xdomain\": [-3.95, 82.95], \"ydomain\": [-3303073.458510592, 69375044.13817954], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 11, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 9, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, 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\n",
            "text/html": [
              "\n",
              "\n",
              "<style>\n",
              "\n",
              "</style>\n",
              "\n",
              "<div id=\"fig_el671399561170370088156768643\"></div>\n",
              "<script>\n",
              "function mpld3_load_lib(url, callback){\n",
              "  var s = document.createElement('script');\n",
              "  s.src = url;\n",
              "  s.async = true;\n",
              "  s.onreadystatechange = s.onload = callback;\n",
              "  s.onerror = function(){console.warn(\"failed to load library \" + url);};\n",
              "  document.getElementsByTagName(\"head\")[0].appendChild(s);\n",
              "}\n",
              "\n",
              "if(typeof(mpld3) !== \"undefined\" && mpld3._mpld3IsLoaded){\n",
              "   // already loaded: just create the figure\n",
              "   !function(mpld3){\n",
              "       \n",
              "       mpld3.draw_figure(\"fig_el671399561170370088156768643\", {\"width\": 720.0, \"height\": 360.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-3.95, 82.95], \"ylim\": [-142090.5, 4427496.5], \"xdomain\": [-3.95, 82.95], \"ydomain\": [-142090.5, 4427496.5], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 11, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 7, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el67139955652779920\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", \"id\": \"el67139955651435984\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"data\", \"id\": \"el67139955652095248\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"data\", \"id\": \"el67139955652051280\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"data\", \"id\": \"el67139955651630096\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"id\": \"el67139955652675408\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"axes\", \"id\": \"el67139955651400784\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"axes\", \"id\": \"el67139955652604752\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"axes\", \"id\": \"el67139955651840720\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}], \"paths\": [{\"data\": \"data03\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"pathcodes\": [\"M\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"Z\"], \"id\": \"el67139955652669968\", \"dasharray\": \"none\", \"alpha\": 0.5, \"facecolor\": \"rgba(255, 255, 255, 0.5)\", \"edgecolor\": \"rgba(204, 204, 204, 0.5)\", \"edgewidth\": 1.0, \"zorder\": 1000000.0}], \"markers\": [], \"texts\": [{\"text\": \"Time (days)\", \"position\": [0.5, -0.1085356880058867], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"hanging\", \"rotation\": -0.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": \"el67139955652674320\"}, {\"text\": \"Populations (people)\", \"position\": [-0.046370967741935484, 0.5], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"auto\", \"rotation\": -90.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": \"el67139955651473552\"}, {\"text\": \"Real Total Infected\", \"position\": [0.06630824372759858, 0.9374540103016924], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el67139955652677008\"}, {\"text\": \"Real Total Deaths\", \"position\": [0.06630824372759858, 0.8822663723325976], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el67139955652676560\"}, {\"text\": \"Predicted Total Infected\", \"position\": [0.06630824372759858, 0.8270787343635027], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el67139955652604176\"}, {\"text\": \"Predicted Total Deaths\", \"position\": [0.06630824372759858, 0.7718910963944077], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el67139955652605200\"}], \"collections\": [], \"images\": [], \"sharex\": [], \"sharey\": []}], \"data\": {\"data01\": [[0.0, 1918739.0, 65618.0, 1918739.0, 65618.0], [1.0, 1954271.0, 66150.0, 1953513.10744269, 65624.34194465763], [2.0, 1982831.0, 66640.0, 1989219.9964288813, 65720.15569167215], [3.0, 2010080.0, 67177.0, 2025881.8878056537, 65899.00531178374], [4.0, 2046164.0, 67503.0, 2063514.935281882, 66155.14925039031], [5.0, 2079681.0, 67718.0, 2102129.0111879045, 66483.45590301306], [6.0, 2116612.0, 68409.0, 2141727.4765775753, 66879.32698902315], [7.0, 2155999.0, 69157.0, 2182306.9470865782, 67338.62791146443], [8.0, 2195148.0, 69732.0, 2223857.0656625545, 67857.62440074017], [9.0, 2227951.0, 70302.0, 2266360.293086787, 68432.92483821377], [10.0, 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0.7498160412067698], [0.28001792114695345, 0.7498160412067698], [0.2836021505376344, 0.7498160412067698], [0.2836021505376344, 0.7571743929359824], [0.2836021505376344, 0.9742457689477557], [0.2836021505376344, 0.9816041206769683], [0.28001792114695345, 0.9816041206769683], [0.01254480286738352, 0.9816041206769683], [0.00896057347670251, 0.9816041206769683], [0.00896057347670251, 0.9742457689477557], [0.00896057347670251, 0.7571743929359824], [0.00896057347670251, 0.7498160412067698], [0.01254480286738352, 0.7498160412067698]]}, \"id\": \"el67139956117037008\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}]});\n",
              "   }(mpld3);\n",
              "}else if(typeof define === \"function\" && define.amd){\n",
              "   // require.js is available: use it to load d3/mpld3\n",
              "   require.config({paths: {d3: \"https://d3js.org/d3.v5\"}});\n",
              "   require([\"d3\"], function(d3){\n",
              "      window.d3 = d3;\n",
              "      mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
              "         \n",
              "         mpld3.draw_figure(\"fig_el671399561170370088156768643\", {\"width\": 720.0, \"height\": 360.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-3.95, 82.95], \"ylim\": [-142090.5, 4427496.5], \"xdomain\": [-3.95, 82.95], \"ydomain\": [-142090.5, 4427496.5], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 11, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 7, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el67139955652779920\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", \"id\": \"el67139955651435984\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"data\", \"id\": \"el67139955652095248\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"data\", \"id\": \"el67139955652051280\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"data\", \"id\": \"el67139955651630096\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"id\": \"el67139955652675408\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"axes\", \"id\": \"el67139955651400784\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"axes\", \"id\": \"el67139955652604752\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"axes\", \"id\": \"el67139955651840720\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}], \"paths\": [{\"data\": \"data03\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"pathcodes\": [\"M\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"Z\"], \"id\": \"el67139955652669968\", \"dasharray\": \"none\", \"alpha\": 0.5, \"facecolor\": \"rgba(255, 255, 255, 0.5)\", \"edgecolor\": \"rgba(204, 204, 204, 0.5)\", \"edgewidth\": 1.0, \"zorder\": 1000000.0}], \"markers\": [], \"texts\": [{\"text\": \"Time (days)\", \"position\": [0.5, -0.1085356880058867], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"hanging\", \"rotation\": -0.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": \"el67139955652674320\"}, {\"text\": \"Populations (people)\", \"position\": [-0.046370967741935484, 0.5], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"auto\", \"rotation\": -90.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": \"el67139955651473552\"}, {\"text\": \"Real Total Infected\", \"position\": [0.06630824372759858, 0.9374540103016924], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el67139955652677008\"}, {\"text\": \"Real Total Deaths\", \"position\": [0.06630824372759858, 0.8822663723325976], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el67139955652676560\"}, {\"text\": \"Predicted Total Infected\", \"position\": [0.06630824372759858, 0.8270787343635027], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el67139955652604176\"}, {\"text\": \"Predicted Total Deaths\", \"position\": 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121536.0, 4137875.3868141053, 120780.11915541053], [70.0, 4156707.0, 121979.0, 4142088.7046474926, 121078.22137922366], [71.0, 4166727.0, 122303.0, 4145945.5709469835, 121357.74464280331], [72.0, 4175315.0, 122648.0, 4149473.9193026004, 121619.60367294628], [73.0, 4182772.0, 122939.0, 4152699.8265580214, 121864.69506473922], [74.0, 4188827.0, 123083.0, 4155647.5860618628, 122093.89426478624], [75.0, 4194289.0, 123187.0, 4158339.7862620694, 122308.05304272314], [76.0, 4200700.0, 123530.0, 4160797.392897472, 122507.99741654891], [77.0, 4207120.0, 124017.0, 4163039.8332828246, 122694.52599619191], [78.0, 4213764.0, 124259.0, 4165085.081409106, 122868.40870935287], [79.0, 4219788.0, 124495.0, 4166949.742787977, 123030.38587391273]], \"data02\": [[0.01612903225806453, 0.9503311258278145, 0.8951434878587198, 0.8399558498896248, 0.7847682119205298], [0.051971326164874564, 0.9503311258278145, 0.8951434878587198, 0.8399558498896248, 0.7847682119205298]], \"data03\": [[0.01254480286738352, 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              "      });\n",
              "    });\n",
              "}else{\n",
              "    // require.js not available: dynamically load d3 & mpld3\n",
              "    mpld3_load_lib(\"https://d3js.org/d3.v5.js\", function(){\n",
              "         mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
              "                 \n",
              "                 mpld3.draw_figure(\"fig_el671399561170370088156768643\", {\"width\": 720.0, \"height\": 360.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-3.95, 82.95], \"ylim\": [-142090.5, 4427496.5], \"xdomain\": [-3.95, 82.95], \"ydomain\": [-142090.5, 4427496.5], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 11, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 7, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el67139955652779920\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", \"id\": \"el67139955651435984\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"data\", \"id\": \"el67139955652095248\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"data\", \"id\": \"el67139955652051280\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"data\", \"id\": \"el67139955651630096\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"id\": \"el67139955652675408\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"axes\", \"id\": \"el67139955651400784\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"axes\", \"id\": \"el67139955652604752\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"axes\", \"id\": \"el67139955651840720\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}], \"paths\": [{\"data\": \"data03\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"pathcodes\": [\"M\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"Z\"], \"id\": \"el67139955652669968\", \"dasharray\": \"none\", \"alpha\": 0.5, \"facecolor\": \"rgba(255, 255, 255, 0.5)\", \"edgecolor\": \"rgba(204, 204, 204, 0.5)\", \"edgewidth\": 1.0, \"zorder\": 1000000.0}], \"markers\": [], \"texts\": [{\"text\": \"Time (days)\", \"position\": [0.5, -0.1085356880058867], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"hanging\", \"rotation\": -0.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": \"el67139955652674320\"}, {\"text\": \"Populations (people)\", \"position\": [-0.046370967741935484, 0.5], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"auto\", \"rotation\": -90.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": \"el67139955651473552\"}, {\"text\": \"Real Total Infected\", \"position\": [0.06630824372759858, 0.9374540103016924], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el67139955652677008\"}, {\"text\": \"Real Total Deaths\", \"position\": [0.06630824372759858, 0.8822663723325976], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el67139955652676560\"}, {\"text\": \"Predicted Total Infected\", \"position\": [0.06630824372759858, 0.8270787343635027], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el67139955652604176\"}, {\"text\": \"Predicted Total Deaths\", \"position\": [0.06630824372759858, 0.7718910963944077], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el67139955652605200\"}], \"collections\": [], \"images\": [], \"sharex\": [], \"sharey\": []}], \"data\": {\"data01\": [[0.0, 1918739.0, 65618.0, 1918739.0, 65618.0], [1.0, 1954271.0, 66150.0, 1953513.10744269, 65624.34194465763], [2.0, 1982831.0, 66640.0, 1989219.9964288813, 65720.15569167215], [3.0, 2010080.0, 67177.0, 2025881.8878056537, 65899.00531178374], [4.0, 2046164.0, 67503.0, 2063514.935281882, 66155.14925039031], [5.0, 2079681.0, 67718.0, 2102129.0111879045, 66483.45590301306], [6.0, 2116612.0, 68409.0, 2141727.4765775753, 66879.32698902315], [7.0, 2155999.0, 69157.0, 2182306.9470865782, 67338.62791146443], [8.0, 2195148.0, 69732.0, 2223857.0656625545, 67857.62440074017], [9.0, 2227951.0, 70302.0, 2266360.293086787, 68432.92483821377], [10.0, 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              "         });\n",
              "}\n",
              "</script>"
            ],
            "text/plain": [
              "<Figure size 720x360 with 1 Axes>"
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          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
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        },
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\n",
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              "\n",
              "\n",
              "<style>\n",
              "\n",
              "</style>\n",
              "\n",
              "<div id=\"fig_el671399556530812961354508561\"></div>\n",
              "<script>\n",
              "function mpld3_load_lib(url, callback){\n",
              "  var s = document.createElement('script');\n",
              "  s.src = url;\n",
              "  s.async = true;\n",
              "  s.onreadystatechange = s.onload = callback;\n",
              "  s.onerror = function(){console.warn(\"failed to load library \" + url);};\n",
              "  document.getElementsByTagName(\"head\")[0].appendChild(s);\n",
              "}\n",
              "\n",
              "if(typeof(mpld3) !== \"undefined\" && mpld3._mpld3IsLoaded){\n",
              "   // already loaded: just create the figure\n",
              "   !function(mpld3){\n",
              "       \n",
              "       mpld3.draw_figure(\"fig_el671399556530812961354508561\", {\"width\": 720.0, \"height\": 360.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-3.95, 82.95], \"ylim\": [62674.15, 127438.85], \"xdomain\": [-3.95, 82.95], \"ydomain\": [62674.15, 127438.85], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 11, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 8, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el67139955652779344\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", \"id\": \"el67139955653848528\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"data\", \"id\": \"el67139955653847440\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"id\": \"el67139955654244304\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"axes\", \"id\": \"el67139955652705040\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}], \"paths\": [{\"data\": \"data03\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"pathcodes\": [\"M\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"Z\"], \"id\": \"el67139955654245008\", \"dasharray\": \"none\", \"alpha\": 0.5, \"facecolor\": \"rgba(255, 255, 255, 0.5)\", \"edgecolor\": \"rgba(204, 204, 204, 0.5)\", \"edgewidth\": 1.0, \"zorder\": 1000000.0}], \"markers\": [], \"texts\": [{\"text\": \"Time (days)\", \"position\": [0.5, -0.1085356880058867], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"hanging\", \"rotation\": -0.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": \"el67139955652955664\"}, {\"text\": \"Populations (people)\", \"position\": [-0.10259856630824372, 0.5], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"auto\", \"rotation\": -90.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": \"el67139955652220752\"}, {\"text\": \"Real Total Deaths\", \"position\": [0.06630824372759858, 0.9374540103016924], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el67139955654246160\"}, {\"text\": \"Predicted Total Deaths\", \"position\": [0.06630824372759858, 0.8822663723325976], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el67139955654243856\"}], \"collections\": [], \"images\": [], \"sharex\": [], \"sharey\": []}], \"data\": {\"data01\": [[0.0, 65618.0, 65618.0], [1.0, 66150.0, 65624.34194465763], [2.0, 66640.0, 65720.15569167215], [3.0, 67177.0, 65899.00531178374], [4.0, 67503.0, 66155.14925039031], [5.0, 67718.0, 66483.45590301306], [6.0, 68409.0, 66879.32698902315], [7.0, 69157.0, 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93469.0, 95024.64279330212], [36.0, 94765.0, 96193.80239626912], [37.0, 96166.0, 97350.64482373356], [38.0, 97518.0, 98492.89914661775], [39.0, 98129.0, 99618.40246215528], [40.0, 98723.0, 100725.11278965314], [41.0, 100359.0, 101811.12065028], [42.0, 102085.0, 102874.65914084678], [43.0, 103324.0, 103914.11235240729], [44.0, 104572.0, 104928.02202739762], [45.0, 105777.0, 105915.09239254404], [46.0, 106367.0, 106874.19314752349], [47.0, 106774.0, 107804.36063007839], [48.0, 108225.0, 108704.79721583963], [49.0, 109547.0, 109574.86904456257], [50.0, 110462.0, 110414.10219311672], [51.0, 111477.0, 111222.17743891216], [52.0, 112305.0, 111998.92377525188], [53.0, 112681.0, 112744.3108523501], [54.0, 113014.0, 113458.44052463354], [55.0, 114066.0, 114141.53768679904], [56.0, 115068.0, 114793.94057842456], [57.0, 115748.0, 115416.09073030988], [58.0, 116507.0, 116008.52271580728], [59.0, 117128.0, 116571.85385786778], [60.0, 117387.0, 117106.774028049], [61.0, 117622.0, 117614.03565795008], [62.0, 118421.0, 118094.44406705232], [63.0, 119159.0, 118548.84819428003], [64.0, 119614.0, 118978.13180421221], [65.0, 120147.0, 119383.20522314748], [66.0, 120593.0, 119764.99764545125], [67.0, 120810.0, 120124.45003701813], [68.0, 120988.0, 120462.508650414], [69.0, 121536.0, 120780.11915541053], [70.0, 121979.0, 121078.22137922366], [71.0, 122303.0, 121357.74464280331], [72.0, 122648.0, 121619.60367294628], [73.0, 122939.0, 121864.69506473922], [74.0, 123083.0, 122093.89426478624], [75.0, 123187.0, 122308.05304272314], [76.0, 123530.0, 122507.99741654891], [77.0, 124017.0, 122694.52599619191], [78.0, 124259.0, 122868.40870935287], [79.0, 124495.0, 123030.38587391273]], \"data02\": [[0.01612903225806453, 0.9503311258278145, 0.8951434878587198], [0.051971326164874564, 0.9503311258278145, 0.8951434878587198]], \"data03\": [[0.01254480286738352, 0.8601913171449596], [0.27038530465949817, 0.8601913171449596], [0.2739695340501792, 0.8601913171449596], [0.2739695340501792, 0.8675496688741722], [0.2739695340501792, 0.9742457689477557], [0.2739695340501792, 0.9816041206769683], [0.27038530465949817, 0.9816041206769683], [0.01254480286738352, 0.9816041206769683], [0.00896057347670251, 0.9816041206769683], [0.00896057347670251, 0.9742457689477557], [0.00896057347670251, 0.8675496688741722], [0.00896057347670251, 0.8601913171449596], [0.01254480286738352, 0.8601913171449596]]}, \"id\": \"el67139955653081296\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}]});\n",
              "   }(mpld3);\n",
              "}else if(typeof define === \"function\" && define.amd){\n",
              "   // require.js is available: use it to load d3/mpld3\n",
              "   require.config({paths: {d3: \"https://d3js.org/d3.v5\"}});\n",
              "   require([\"d3\"], function(d3){\n",
              "      window.d3 = d3;\n",
              "      mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
              "         \n",
              "         mpld3.draw_figure(\"fig_el671399556530812961354508561\", {\"width\": 720.0, \"height\": 360.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-3.95, 82.95], \"ylim\": [62674.15, 127438.85], \"xdomain\": [-3.95, 82.95], \"ydomain\": [62674.15, 127438.85], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 11, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 8, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el67139955652779344\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", \"id\": \"el67139955653848528\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"data\", \"id\": \"el67139955653847440\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"id\": \"el67139955654244304\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"axes\", \"id\": \"el67139955652705040\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}], \"paths\": [{\"data\": \"data03\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"pathcodes\": [\"M\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"Z\"], \"id\": \"el67139955654245008\", \"dasharray\": \"none\", \"alpha\": 0.5, \"facecolor\": \"rgba(255, 255, 255, 0.5)\", \"edgecolor\": \"rgba(204, 204, 204, 0.5)\", \"edgewidth\": 1.0, \"zorder\": 1000000.0}], \"markers\": [], \"texts\": [{\"text\": \"Time (days)\", \"position\": [0.5, -0.1085356880058867], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"hanging\", \"rotation\": -0.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": \"el67139955652955664\"}, {\"text\": \"Populations (people)\", \"position\": [-0.10259856630824372, 0.5], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"auto\", \"rotation\": -90.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": \"el67139955652220752\"}, {\"text\": \"Real Total Deaths\", \"position\": [0.06630824372759858, 0.9374540103016924], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el67139955654246160\"}, {\"text\": \"Predicted Total Deaths\", \"position\": [0.06630824372759858, 0.8822663723325976], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el67139955654243856\"}], \"collections\": [], \"images\": [], \"sharex\": [], \"sharey\": []}], \"data\": {\"data01\": [[0.0, 65618.0, 65618.0], [1.0, 66150.0, 65624.34194465763], [2.0, 66640.0, 65720.15569167215], [3.0, 67177.0, 65899.00531178374], [4.0, 67503.0, 66155.14925039031], [5.0, 67718.0, 66483.45590301306], [6.0, 68409.0, 66879.32698902315], [7.0, 69157.0, 67338.62791146443], [8.0, 69732.0, 67857.62440074017], [9.0, 70302.0, 68432.92483821377], [10.0, 70513.0, 69061.42774382421], [11.0, 70860.0, 69740.27399072409], [12.0, 71217.0, 70466.80338052564], [13.0, 71675.0, 71238.51527557113], [14.0, 72657.0, 72053.03304012156], [15.0, 73622.0, 72908.07209072096], [16.0, 74237.0, 73801.41139736302], [17.0, 74682.0, 74730.868311501], [18.0, 75137.0, 75694.27662439168], [19.0, 75547.0, 76689.46777973104], [20.0, 76428.0, 77714.25517803468], [21.0, 77470.0, 78766.42151681049], [22.0, 78632.0, 79843.70911044018], [23.0, 79965.0, 80943.81312713008], [24.0, 81000.0, 82064.37766776711], [25.0, 81567.0, 83202.9945936506], [26.0, 82096.0, 84357.20498767115], [27.0, 83342.0, 85524.50310755515], [28.0, 84910.0, 86702.34266142729], [29.0, 86163.0, 87888.14520643339], [30.0, 87448.0, 89079.31044186911], [31.0, 88747.0, 90273.22814057292], [32.0, 89429.0, 91467.29143763792], [33.0, 90031.0, 92658.91117506681], [34.0, 91643.0, 93845.5309859778], [35.0, 93469.0, 95024.64279330212], [36.0, 94765.0, 96193.80239626912], [37.0, 96166.0, 97350.64482373356], [38.0, 97518.0, 98492.89914661775], [39.0, 98129.0, 99618.40246215528], [40.0, 98723.0, 100725.11278965314], [41.0, 100359.0, 101811.12065028], [42.0, 102085.0, 102874.65914084678], [43.0, 103324.0, 103914.11235240729], [44.0, 104572.0, 104928.02202739762], [45.0, 105777.0, 105915.09239254404], [46.0, 106367.0, 106874.19314752349], [47.0, 106774.0, 107804.36063007839], [48.0, 108225.0, 108704.79721583963], [49.0, 109547.0, 109574.86904456257], [50.0, 110462.0, 110414.10219311672], [51.0, 111477.0, 111222.17743891216], [52.0, 112305.0, 111998.92377525188], [53.0, 112681.0, 112744.3108523501], [54.0, 113014.0, 113458.44052463354], [55.0, 114066.0, 114141.53768679904], [56.0, 115068.0, 114793.94057842456], [57.0, 115748.0, 115416.09073030988], [58.0, 116507.0, 116008.52271580728], [59.0, 117128.0, 116571.85385786778], [60.0, 117387.0, 117106.774028049], [61.0, 117622.0, 117614.03565795008], [62.0, 118421.0, 118094.44406705232], [63.0, 119159.0, 118548.84819428003], [64.0, 119614.0, 118978.13180421221], [65.0, 120147.0, 119383.20522314748], [66.0, 120593.0, 119764.99764545125], [67.0, 120810.0, 120124.45003701813], [68.0, 120988.0, 120462.508650414], [69.0, 121536.0, 120780.11915541053], [70.0, 121979.0, 121078.22137922366], [71.0, 122303.0, 121357.74464280331], [72.0, 122648.0, 121619.60367294628], [73.0, 122939.0, 121864.69506473922], [74.0, 123083.0, 122093.89426478624], [75.0, 123187.0, 122308.05304272314], [76.0, 123530.0, 122507.99741654891], [77.0, 124017.0, 122694.52599619191], [78.0, 124259.0, 122868.40870935287], [79.0, 124495.0, 123030.38587391273]], \"data02\": [[0.01612903225806453, 0.9503311258278145, 0.8951434878587198], [0.051971326164874564, 0.9503311258278145, 0.8951434878587198]], \"data03\": [[0.01254480286738352, 0.8601913171449596], [0.27038530465949817, 0.8601913171449596], [0.2739695340501792, 0.8601913171449596], [0.2739695340501792, 0.8675496688741722], [0.2739695340501792, 0.9742457689477557], [0.2739695340501792, 0.9816041206769683], [0.27038530465949817, 0.9816041206769683], [0.01254480286738352, 0.9816041206769683], [0.00896057347670251, 0.9816041206769683], [0.00896057347670251, 0.9742457689477557], [0.00896057347670251, 0.8675496688741722], [0.00896057347670251, 0.8601913171449596], [0.01254480286738352, 0.8601913171449596]]}, \"id\": \"el67139955653081296\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}]});\n",
              "      });\n",
              "    });\n",
              "}else{\n",
              "    // require.js not available: dynamically load d3 & mpld3\n",
              "    mpld3_load_lib(\"https://d3js.org/d3.v5.js\", function(){\n",
              "         mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
              "                 \n",
              "                 mpld3.draw_figure(\"fig_el671399556530812961354508561\", {\"width\": 720.0, \"height\": 360.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-3.95, 82.95], \"ylim\": [62674.15, 127438.85], \"xdomain\": [-3.95, 82.95], \"ydomain\": [62674.15, 127438.85], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 11, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 8, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el67139955652779344\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", \"id\": \"el67139955653848528\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"data\", \"id\": \"el67139955653847440\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"id\": \"el67139955654244304\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"axes\", \"id\": \"el67139955652705040\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}], \"paths\": [{\"data\": \"data03\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"pathcodes\": [\"M\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"Z\"], \"id\": \"el67139955654245008\", \"dasharray\": \"none\", \"alpha\": 0.5, \"facecolor\": \"rgba(255, 255, 255, 0.5)\", \"edgecolor\": \"rgba(204, 204, 204, 0.5)\", \"edgewidth\": 1.0, \"zorder\": 1000000.0}], \"markers\": [], \"texts\": [{\"text\": \"Time (days)\", \"position\": [0.5, -0.1085356880058867], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"hanging\", \"rotation\": -0.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": \"el67139955652955664\"}, {\"text\": \"Populations (people)\", \"position\": [-0.10259856630824372, 0.5], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"auto\", \"rotation\": -90.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": 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              "            })\n",
              "         });\n",
              "}\n",
              "</script>"
            ],
            "text/plain": [
              "<Figure size 720x360 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 745
        },
        "id": "pBMrFzDmgp5E",
        "outputId": "b60b6f27-47e1-4e70-df8d-a2b8f6be6872"
      },
      "source": [
        "[alpha, beta, r_I, r_H, eta, I0, H0] = [3.68795148e+00, 3.56012612e+00, 7.12545746e-72, 9.63536518e-02, 2.59098825e-03, 9.76766167e+03, 2.44769333e+03]\n",
        "\n",
        "#(S0, I0, H0, R0, D0) = (N-100, 100, 0, 308500, real_Total_Deaths[0])  #初始條件\n",
        "D0 = real_Total_Deaths[0]\n",
        "R0 = real_Total_Infected[0] - H0 - D0\n",
        "S0 = N - I0 - H0 - R0 - D0\n",
        "(t, S, I, H, R, D) = mimic_SIHRD(days, [S0, I0, H0, R0, D0], alpha, beta, r_I, r_H, eta)\n",
        "\n",
        "dI = []\n",
        "dD = []\n",
        "real_dI = []\n",
        "real_dD = []\n",
        "for i in range(len(S)-1):\n",
        "  dI.append(R[i+1]-R[i]+H[i+1]-H[i]+D[i+1]-D[i])\n",
        "  dD.append(D[i+1]-D[i])\n",
        "  real_dI.append(real_Total_Infected[i+1]-real_Total_Infected[i])\n",
        "  real_dD.append(real_Total_Deaths[i+1]-real_Total_Deaths[i])\n",
        "for i in [dI,dD,real_dI,real_dD]:\n",
        "  i.append(i[-1])\n",
        "plot_SIHRD(t, dI, real_dI, real_dD, R, dD, show = ['S', 'I', 'H', 'D'])\n",
        "plot_SIHRD(t, dI, real_dI, real_dD, R, dD, show = ['H', 'D'])"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
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              "\n",
              "\n",
              "<style>\n",
              "\n",
              "</style>\n",
              "\n",
              "<div id=\"fig_el671399556526696486747002377\"></div>\n",
              "<script>\n",
              "function mpld3_load_lib(url, callback){\n",
              "  var s = document.createElement('script');\n",
              "  s.src = url;\n",
              "  s.async = true;\n",
              "  s.onreadystatechange = s.onload = callback;\n",
              "  s.onerror = function(){console.warn(\"failed to load library \" + url);};\n",
              "  document.getElementsByTagName(\"head\")[0].appendChild(s);\n",
              "}\n",
              "\n",
              "if(typeof(mpld3) !== \"undefined\" && mpld3._mpld3IsLoaded){\n",
              "   // already loaded: just create the figure\n",
              "   !function(mpld3){\n",
              "       \n",
              "       mpld3.draw_figure(\"fig_el671399556526696486747002377\", {\"width\": 720.0, \"height\": 360.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-3.95, 82.95], \"ylim\": [-3402.9409581094887, 71601.28290276713], \"xdomain\": [-3.95, 82.95], \"ydomain\": [-3402.9409581094887, 71601.28290276713], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 11, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 10, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el67139955810327184\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", \"id\": \"el67139955653432592\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"data\", \"id\": \"el67139955653434896\", \"color\": \"#FF0000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"data\", \"id\": \"el67139955653279696\", \"color\": \"#BFBF00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"data\", \"id\": \"el67139955653277264\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 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1000002.0, \"drawstyle\": \"default\"}], \"paths\": [{\"data\": \"data03\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"pathcodes\": [\"M\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"Z\"], \"id\": \"el67139955651921168\", \"dasharray\": \"none\", \"alpha\": 0.5, \"facecolor\": \"rgba(255, 255, 255, 0.5)\", \"edgecolor\": \"rgba(204, 204, 204, 0.5)\", \"edgewidth\": 1.0, \"zorder\": 1000000.0}], \"markers\": [], \"texts\": [{\"text\": \"Time (days)\", \"position\": [0.5, -0.1085356880058867], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"hanging\", \"rotation\": -0.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": \"el67139955576300432\"}, {\"text\": \"Populations (people)\", \"position\": [-0.09117383512544802, 0.5], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"auto\", \"rotation\": -90.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": 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              "   }(mpld3);\n",
              "}else if(typeof define === \"function\" && define.amd){\n",
              "   // require.js is available: use it to load d3/mpld3\n",
              "   require.config({paths: {d3: \"https://d3js.org/d3.v5\"}});\n",
              "   require([\"d3\"], function(d3){\n",
              "      window.d3 = d3;\n",
              "      mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
              "         \n",
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\"el67139955576780944\"}, {\"text\": \"Susceptible\", \"position\": [0.8454301075268819, 0.8785871964679912], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el67139955651920208\"}, {\"text\": \"Infected\", \"position\": [0.8454301075268819, 0.8233995584988962], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el67139955651518800\"}, {\"text\": \"Hospitalized\", \"position\": [0.8454301075268819, 0.7682119205298013], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el67139955651400528\"}, {\"text\": \"Dead\", \"position\": [0.8454301075268819, 0.7130242825607065], 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[0.7594086021505376, 0.6394407652685798], [0.7594086021505376, 0.6320824135393672], [0.7629928315412187, 0.6320824135393672]]}, \"id\": \"el67139955652669648\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}]});\n",
              "      });\n",
              "    });\n",
              "}else{\n",
              "    // require.js not available: dynamically load d3 & mpld3\n",
              "    mpld3_load_lib(\"https://d3js.org/d3.v5.js\", function(){\n",
              "         mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
              "                 \n",
              "                 mpld3.draw_figure(\"fig_el671399556526696486747002377\", {\"width\": 720.0, \"height\": 360.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-3.95, 82.95], \"ylim\": [-3402.9409581094887, 71601.28290276713], \"xdomain\": [-3.95, 82.95], \"ydomain\": [-3402.9409581094887, 71601.28290276713], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 11, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 10, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el67139955810327184\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", \"id\": \"el67139955653432592\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"data\", \"id\": \"el67139955653434896\", \"color\": \"#FF0000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"data\", \"id\": \"el67139955653279696\", \"color\": \"#BFBF00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"data\", \"id\": \"el67139955653277264\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"id\": \"el67139955651921040\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"axes\", \"id\": \"el67139955652771664\", \"color\": \"#FF0000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"axes\", \"id\": \"el67139955651399760\", \"color\": \"#BFBF00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"axes\", \"id\": \"el67139955651402128\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}], \"paths\": [{\"data\": \"data03\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"pathcodes\": [\"M\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"Z\"], \"id\": \"el67139955651921168\", \"dasharray\": \"none\", \"alpha\": 0.5, \"facecolor\": \"rgba(255, 255, 255, 0.5)\", \"edgecolor\": \"rgba(204, 204, 204, 0.5)\", \"edgewidth\": 1.0, \"zorder\": 1000000.0}], \"markers\": [], \"texts\": [{\"text\": \"Time (days)\", \"position\": [0.5, -0.1085356880058867], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"hanging\", \"rotation\": -0.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": \"el67139955576300432\"}, {\"text\": \"Populations (people)\", \"position\": [-0.09117383512544802, 0.5], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"auto\", \"rotation\": -90.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": \"el67139955576780944\"}, {\"text\": \"Susceptible\", \"position\": [0.8454301075268819, 0.8785871964679912], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el67139955651920208\"}, {\"text\": \"Infected\", \"position\": [0.8454301075268819, 0.8233995584988962], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el67139955651518800\"}, {\"text\": \"Hospitalized\", \"position\": [0.8454301075268819, 0.7682119205298013], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el67139955651400528\"}, {\"text\": \"Dead\", \"position\": [0.8454301075268819, 0.7130242825607065], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el67139955651401808\"}], \"collections\": [], \"images\": [], \"sharex\": [], \"sharey\": []}], \"data\": {\"data01\": [[0.0, 34774.10744268981, 35532.0, 532.0, 6.341944657629938], [1.0, 35706.88898619152, 28560.0, 490.0, 95.81374701451568], [2.0, 36661.89137677231, 27249.0, 537.0, 178.84962011159223], [3.0, 37633.04747622843, 36084.0, 326.0, 256.14393860657583], [4.0, 38614.075906022146, 33517.0, 215.0, 328.3066526227485], [5.0, 39598.46538967099, 36931.0, 691.0, 395.8710860100837], [6.0, 40579.47050900293, 39387.0, 748.0, 459.3009224412817], [7.0, 41550.118575976405, 39149.0, 575.0, 518.9964892757416], [8.0, 42503.22742423287, 32803.0, 570.0, 575.3004374736047], [9.0, 43431.4339539887, 34788.0, 211.0, 628.5029056104395], [10.0, 44327.23322866352, 32493.0, 347.0, 678.8462468998769], [11.0, 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              "            })\n",
              "         });\n",
              "}\n",
              "</script>"
            ],
            "text/plain": [
              "<Figure size 720x360 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
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              "\n",
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              "<style>\n",
              "\n",
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              "\n",
              "<div id=\"fig_el671399556515338404073128210\"></div>\n",
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              "  s.src = url;\n",
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              "  s.onreadystatechange = s.onload = callback;\n",
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              "  document.getElementsByTagName(\"head\")[0].appendChild(s);\n",
              "}\n",
              "\n",
              "if(typeof(mpld3) !== \"undefined\" && mpld3._mpld3IsLoaded){\n",
              "   // already loaded: just create the figure\n",
              "   !function(mpld3){\n",
              "       \n",
              "       mpld3.draw_figure(\"fig_el671399556515338404073128210\", {\"width\": 720.0, \"height\": 360.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-3.95, 82.95], \"ylim\": [-84.64095810948857, 1916.9829027671185], \"xdomain\": [-3.95, 82.95], \"ydomain\": [-84.64095810948857, 1916.9829027671185], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 11, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 10, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el67139955576269968\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", \"id\": \"el67139955576104208\", \"color\": \"#BFBF00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"data\", \"id\": \"el67139955576105616\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"id\": \"el67139955651646864\", \"color\": \"#BFBF00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"axes\", \"id\": \"el67139955651647760\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}], \"paths\": [{\"data\": \"data03\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"pathcodes\": [\"M\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"Z\"], \"id\": \"el67139955576106896\", \"dasharray\": \"none\", \"alpha\": 0.5, \"facecolor\": \"rgba(255, 255, 255, 0.5)\", \"edgecolor\": \"rgba(204, 204, 204, 0.5)\", \"edgewidth\": 1.0, \"zorder\": 1000000.0}], \"markers\": [], \"texts\": [{\"text\": \"Time (days)\", \"position\": [0.5, -0.1085356880058867], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"hanging\", \"rotation\": -0.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": \"el67139955652123728\"}, {\"text\": \"Populations (people)\", \"position\": [-0.080421146953405, 0.5], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"auto\", \"rotation\": -90.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": \"el67139955651551440\"}, {\"text\": \"Hospitalized\", \"position\": [0.8454301075268819, 0.8785871964679912], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el67139955651646224\"}, {\"text\": \"Dead\", \"position\": [0.8454301075268819, 0.8233995584988962], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el67139955651648272\"}], \"collections\": [], \"images\": [], \"sharex\": [], \"sharey\": []}], \"data\": {\"data01\": [[0.0, 532.0, 6.341944657629938], [1.0, 490.0, 95.81374701451568], [2.0, 537.0, 178.84962011159223], [3.0, 326.0, 256.14393860657583], [4.0, 215.0, 328.3066526227485], [5.0, 691.0, 395.8710860100837], [6.0, 748.0, 459.3009224412817], [7.0, 575.0, 518.9964892757416], [8.0, 570.0, 575.3004374736047], [9.0, 211.0, 628.5029056104395], [10.0, 347.0, 678.8462468998769], [11.0, 357.0, 726.5293898015516], [12.0, 458.0, 771.7118950454897], [13.0, 982.0, 814.51776455043], [14.0, 965.0, 855.0390505994001], [15.0, 615.0, 893.339306642054], [16.0, 445.0, 929.4569141379907], [17.0, 455.0, 963.4083128906786], [18.0, 410.0, 995.1911553393584], [19.0, 881.0, 1024.7873983036407], [20.0, 1042.0, 1052.1663387758017], [21.0, 1162.0, 1077.2875936296914], [22.0, 1333.0, 1100.1040166899038], [23.0, 1035.0, 1120.5645406370313], [24.0, 567.0, 1138.6169258834852], [25.0, 529.0, 1154.2103940205561], [26.0, 1246.0, 1167.2981198839989], [27.0, 1568.0, 1177.839553872138], [28.0, 1253.0, 1185.802545006096], [29.0, 1285.0, 1191.1652354357211], [30.0, 1299.0, 1193.9176987038081], [31.0, 682.0, 1194.063297065004], [32.0, 602.0, 1191.6197374288895], [33.0, 1612.0, 1186.6198109109973], [34.0, 1826.0, 1179.1118073243124], [35.0, 1296.0, 1169.1596029670036], [36.0, 1401.0, 1156.8424274644349], [37.0, 1352.0, 1142.2543228841969], [38.0, 611.0, 1125.5033155375277], [39.0, 594.0, 1106.710327497858], [40.0, 1636.0, 1086.0078606268653], [41.0, 1726.0, 1063.5384905667743], [42.0, 1239.0, 1039.4532115605107], [43.0, 1248.0, 1013.9096749903256], [44.0, 1205.0, 987.0703651464282], [45.0, 590.0, 959.1007549794449], [46.0, 407.0, 930.167482554898], [47.0, 1451.0, 900.4365857612429], [48.0, 1322.0, 870.0718287229392], [49.0, 915.0, 839.2331485541508], [50.0, 1015.0, 808.0752457954368], [51.0, 828.0, 776.7463363397255], [52.0, 376.0, 745.3870770982176], [53.0, 333.0, 714.1296722834377], [54.0, 1052.0, 683.0971621655044], [55.0, 1002.0, 652.4028916255193], [56.0, 680.0, 622.1501518853183], [57.0, 759.0, 592.4319854974019], [58.0, 621.0, 563.3311420605023], [59.0, 259.0, 534.9201701812126], [60.0, 235.0, 507.26162990108423], [61.0, 799.0, 480.4084091022378], [62.0, 738.0, 454.40412722771], [63.0, 455.0, 429.28360993218666], [64.0, 533.0, 405.0734189352661], [65.0, 446.0, 381.79242230376985], [66.0, 217.0, 359.4523915668833], [67.0, 178.0, 338.05861339587136], [68.0, 548.0, 317.6105049965263], [69.0, 443.0, 298.10222381312633], [70.0, 324.0, 279.5232635796565], [71.0, 345.0, 261.8590301429649], [72.0, 291.0, 245.0913917929429], [73.0, 144.0, 229.19920004701999], [74.0, 104.0, 214.15877793690015], [75.0, 343.0, 199.9443738257687], [76.0, 487.0, 186.5285796429962], [77.0, 242.0, 173.8827131609578], [78.0, 236.0, 161.97716455986665], [79.0, 236.0, 161.97716455986665]], \"data02\": [[0.7952508960573477, 0.8914643119941134, 0.8362766740250184], [0.8310931899641577, 0.8914643119941134, 0.8362766740250184]], \"data03\": [[0.7629928315412187, 0.742457689477557], [0.9874551971326165, 0.742457689477557], [0.9910394265232975, 0.742457689477557], [0.9910394265232975, 0.7498160412067698], [0.9910394265232975, 0.9742457689477557], [0.9910394265232975, 0.9816041206769683], [0.9874551971326165, 0.9816041206769683], [0.7629928315412187, 0.9816041206769683], [0.7594086021505376, 0.9816041206769683], [0.7594086021505376, 0.9742457689477557], [0.7594086021505376, 0.7498160412067698], [0.7594086021505376, 0.742457689477557], [0.7629928315412187, 0.742457689477557]]}, \"id\": \"el67139955651533840\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}]});\n",
              "   }(mpld3);\n",
              "}else if(typeof define === \"function\" && define.amd){\n",
              "   // require.js is available: use it to load d3/mpld3\n",
              "   require.config({paths: {d3: \"https://d3js.org/d3.v5\"}});\n",
              "   require([\"d3\"], function(d3){\n",
              "      window.d3 = d3;\n",
              "      mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
              "         \n",
              "         mpld3.draw_figure(\"fig_el671399556515338404073128210\", {\"width\": 720.0, \"height\": 360.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-3.95, 82.95], \"ylim\": [-84.64095810948857, 1916.9829027671185], \"xdomain\": [-3.95, 82.95], \"ydomain\": [-84.64095810948857, 1916.9829027671185], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 11, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 10, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el67139955576269968\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", \"id\": \"el67139955576104208\", \"color\": \"#BFBF00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"data\", \"id\": \"el67139955576105616\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"id\": \"el67139955651646864\", \"color\": \"#BFBF00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"axes\", \"id\": \"el67139955651647760\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}], \"paths\": [{\"data\": \"data03\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"pathcodes\": [\"M\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"Z\"], \"id\": \"el67139955576106896\", \"dasharray\": \"none\", \"alpha\": 0.5, \"facecolor\": \"rgba(255, 255, 255, 0.5)\", \"edgecolor\": \"rgba(204, 204, 204, 0.5)\", \"edgewidth\": 1.0, \"zorder\": 1000000.0}], \"markers\": [], \"texts\": [{\"text\": \"Time (days)\", \"position\": [0.5, -0.1085356880058867], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"hanging\", \"rotation\": -0.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": \"el67139955652123728\"}, {\"text\": \"Populations (people)\", \"position\": [-0.080421146953405, 0.5], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"auto\", \"rotation\": -90.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": \"el67139955651551440\"}, {\"text\": \"Hospitalized\", \"position\": [0.8454301075268819, 0.8785871964679912], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el67139955651646224\"}, {\"text\": \"Dead\", \"position\": [0.8454301075268819, 0.8233995584988962], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el67139955651648272\"}], \"collections\": [], \"images\": [], \"sharex\": [], \"sharey\": []}], \"data\": {\"data01\": [[0.0, 532.0, 6.341944657629938], [1.0, 490.0, 95.81374701451568], [2.0, 537.0, 178.84962011159223], [3.0, 326.0, 256.14393860657583], [4.0, 215.0, 328.3066526227485], [5.0, 691.0, 395.8710860100837], [6.0, 748.0, 459.3009224412817], [7.0, 575.0, 518.9964892757416], [8.0, 570.0, 575.3004374736047], [9.0, 211.0, 628.5029056104395], [10.0, 347.0, 678.8462468998769], [11.0, 357.0, 726.5293898015516], [12.0, 458.0, 771.7118950454897], [13.0, 982.0, 814.51776455043], [14.0, 965.0, 855.0390505994001], [15.0, 615.0, 893.339306642054], [16.0, 445.0, 929.4569141379907], [17.0, 455.0, 963.4083128906786], [18.0, 410.0, 995.1911553393584], [19.0, 881.0, 1024.7873983036407], [20.0, 1042.0, 1052.1663387758017], [21.0, 1162.0, 1077.2875936296914], [22.0, 1333.0, 1100.1040166899038], [23.0, 1035.0, 1120.5645406370313], [24.0, 567.0, 1138.6169258834852], [25.0, 529.0, 1154.2103940205561], [26.0, 1246.0, 1167.2981198839989], [27.0, 1568.0, 1177.839553872138], [28.0, 1253.0, 1185.802545006096], [29.0, 1285.0, 1191.1652354357211], [30.0, 1299.0, 1193.9176987038081], [31.0, 682.0, 1194.063297065004], [32.0, 602.0, 1191.6197374288895], [33.0, 1612.0, 1186.6198109109973], [34.0, 1826.0, 1179.1118073243124], [35.0, 1296.0, 1169.1596029670036], [36.0, 1401.0, 1156.8424274644349], [37.0, 1352.0, 1142.2543228841969], [38.0, 611.0, 1125.5033155375277], [39.0, 594.0, 1106.710327497858], [40.0, 1636.0, 1086.0078606268653], [41.0, 1726.0, 1063.5384905667743], [42.0, 1239.0, 1039.4532115605107], [43.0, 1248.0, 1013.9096749903256], [44.0, 1205.0, 987.0703651464282], [45.0, 590.0, 959.1007549794449], [46.0, 407.0, 930.167482554898], [47.0, 1451.0, 900.4365857612429], [48.0, 1322.0, 870.0718287229392], [49.0, 915.0, 839.2331485541508], [50.0, 1015.0, 808.0752457954368], [51.0, 828.0, 776.7463363397255], [52.0, 376.0, 745.3870770982176], [53.0, 333.0, 714.1296722834377], [54.0, 1052.0, 683.0971621655044], [55.0, 1002.0, 652.4028916255193], [56.0, 680.0, 622.1501518853183], [57.0, 759.0, 592.4319854974019], [58.0, 621.0, 563.3311420605023], [59.0, 259.0, 534.9201701812126], [60.0, 235.0, 507.26162990108423], [61.0, 799.0, 480.4084091022378], [62.0, 738.0, 454.40412722771], [63.0, 455.0, 429.28360993218666], [64.0, 533.0, 405.0734189352661], [65.0, 446.0, 381.79242230376985], [66.0, 217.0, 359.4523915668833], [67.0, 178.0, 338.05861339587136], [68.0, 548.0, 317.6105049965263], [69.0, 443.0, 298.10222381312633], [70.0, 324.0, 279.5232635796565], [71.0, 345.0, 261.8590301429649], [72.0, 291.0, 245.0913917929429], [73.0, 144.0, 229.19920004701999], [74.0, 104.0, 214.15877793690015], [75.0, 343.0, 199.9443738257687], [76.0, 487.0, 186.5285796429962], [77.0, 242.0, 173.8827131609578], [78.0, 236.0, 161.97716455986665], [79.0, 236.0, 161.97716455986665]], \"data02\": [[0.7952508960573477, 0.8914643119941134, 0.8362766740250184], [0.8310931899641577, 0.8914643119941134, 0.8362766740250184]], \"data03\": [[0.7629928315412187, 0.742457689477557], [0.9874551971326165, 0.742457689477557], [0.9910394265232975, 0.742457689477557], [0.9910394265232975, 0.7498160412067698], [0.9910394265232975, 0.9742457689477557], [0.9910394265232975, 0.9816041206769683], [0.9874551971326165, 0.9816041206769683], [0.7629928315412187, 0.9816041206769683], [0.7594086021505376, 0.9816041206769683], [0.7594086021505376, 0.9742457689477557], [0.7594086021505376, 0.7498160412067698], [0.7594086021505376, 0.742457689477557], [0.7629928315412187, 0.742457689477557]]}, \"id\": \"el67139955651533840\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}]});\n",
              "      });\n",
              "    });\n",
              "}else{\n",
              "    // require.js not available: dynamically load d3 & mpld3\n",
              "    mpld3_load_lib(\"https://d3js.org/d3.v5.js\", function(){\n",
              "         mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
              "                 \n",
              "                 mpld3.draw_figure(\"fig_el671399556515338404073128210\", {\"width\": 720.0, \"height\": 360.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-3.95, 82.95], \"ylim\": [-84.64095810948857, 1916.9829027671185], \"xdomain\": [-3.95, 82.95], \"ydomain\": [-84.64095810948857, 1916.9829027671185], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 11, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 10, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el67139955576269968\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", \"id\": \"el67139955576104208\", \"color\": \"#BFBF00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"data\", \"id\": \"el67139955576105616\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"id\": \"el67139955651646864\", \"color\": \"#BFBF00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"axes\", \"id\": \"el67139955651647760\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}], \"paths\": [{\"data\": \"data03\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"pathcodes\": [\"M\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"Z\"], \"id\": \"el67139955576106896\", \"dasharray\": \"none\", \"alpha\": 0.5, \"facecolor\": \"rgba(255, 255, 255, 0.5)\", \"edgecolor\": \"rgba(204, 204, 204, 0.5)\", \"edgewidth\": 1.0, \"zorder\": 1000000.0}], \"markers\": [], \"texts\": [{\"text\": \"Time (days)\", \"position\": [0.5, -0.1085356880058867], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"hanging\", \"rotation\": -0.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": \"el67139955652123728\"}, {\"text\": \"Populations (people)\", \"position\": [-0.080421146953405, 0.5], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"auto\", \"rotation\": -90.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": \"el67139955651551440\"}, {\"text\": \"Hospitalized\", \"position\": [0.8454301075268819, 0.8785871964679912], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el67139955651646224\"}, {\"text\": \"Dead\", \"position\": [0.8454301075268819, 0.8233995584988962], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el67139955651648272\"}], \"collections\": [], \"images\": [], \"sharex\": [], \"sharey\": []}], \"data\": {\"data01\": [[0.0, 532.0, 6.341944657629938], [1.0, 490.0, 95.81374701451568], [2.0, 537.0, 178.84962011159223], [3.0, 326.0, 256.14393860657583], [4.0, 215.0, 328.3066526227485], [5.0, 691.0, 395.8710860100837], [6.0, 748.0, 459.3009224412817], [7.0, 575.0, 518.9964892757416], [8.0, 570.0, 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              "            })\n",
              "         });\n",
              "}\n",
              "</script>"
            ],
            "text/plain": [
              "<Figure size 720x360 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
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        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "nX6ze3orsX30"
      },
      "source": [
        "加入疫苗"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "EPLhl-LQrYQA"
      },
      "source": [
        "raw_vaccine_1 = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 60, 7373, 24884, 44614, 62829, 73327, 38450, 32573, 104370, 134805, 155946, 152724, 158174, 71234, 71626, 149401, 151837, 124854, 103074, 115823, 66294, 44455, 37537, 21013, 23905, 51919, 56302, 30615, 29367, 68252, 69526, 72574, 76533, 69581, 37713, 39848, 68938, 80735, 78479, 77690, 79409, 36522, 34287, 73178, 82271, 69863, 60072, 72386, 33777, 21533, 53939, 58481, 66120, 70337, 80892, 38936, 27388, 74728, 81320, 83319, 61795, 68975, 39559, 31584, 79313, 84875, 77193, 60875, 51506, 25753, 18256, 40165, 45509, 41004, 41783, 39474, 17166, 10567, 30965, 27162, 26498, 23090, 23057, 11096, 7848, 20829, 19903, 18531, 17502, 15826, 6752, 5117, 13030, 13354, 2601, 10787, 10035, 4005, 1710, 2039, 6775, 7659, 7948, 7944, 2768, 1339, 9539, 10173, 8770, 8673, 9162, 3369, 1491, 8894, 8701, 5597, 3426, 450, 3189, 743, 6964, 6204, 6043, 6150, 5742, 2584, 679, 4716, 5331, 4346, 4310, 4191, 1731, 382, 3156, 3399, 3382, 3109, 3437, 1661, 175, 2763, 2764, 2414, 1816, 1814, 770, 132, 425, 187, 1815, 2030, 2093, 1007, 139, 2196, 1978, 1648, 1218, 1634, 616, 104, 1546, 1522, 1176, 1288, 1503, 924, 103, 4178, 4218, 3551, 3453, 3184, 1239, 137, 3030, 2877, 2946, 2558, 2534, 1075, 141, 3216, 5030, 6716, 10570, 11841, 6915, 2185, 13511, 14316, 16497, 16270, 16664, 9656, 2588, 17616, 17611, 17661, 15212]\n",
        "raw_vaccine_2 = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 4, 3, 22, 5986, 19237, 35638, 56812, 68754, 35882, 25977, 84457, 120213, 137526, 143397, 163957, 70924, 53475, 140338, 139170, 126066, 124722, 130292, 64610, 42662, 59341, 35207, 30948, 51269, 57920, 28656, 22140, 68543, 65202, 67276, 71946, 71533, 37409, 30345, 68870, 75489, 78039, 75337, 79493, 37991, 28643, 78344, 80351, 70228, 62870, 64541, 31886, 21127, 55711, 61265, 64521, 66559, 78847, 40322, 25277, 72678, 73078, 76476, 58503, 68883, 41295, 25181, 73827, 78050, 71354, 58832, 57962, 27868, 15226, 40364, 40370, 7154, 46349, 35253, 13216, 4200, 4548, 29856, 22230, 19249, 18467, 7964, 2878, 22714, 21080, 16552, 15090, 16746, 6053, 3429, 14094, 13023, 4780, 5109, 413, 6458, 1912, 7351, 6968, 6685, 6900, 7467, 3232, 1211, 6825, 7724, 6415, 7094, 7085, 3000, 820, 5951, 5630, 4528, 3862, 2920, 2281, 423, 4625, 4521, 3639, 3093, 3474, 1333, 173, 1134, 758, 4798, 4875, 3715, 1223, 323, 3120, 3460, 2437, 2324, 2942, 1240, 161, 1845, 1947, 1664, 1427, 1290, 546, 66, 873, 664, 1017, 1127, 1122, 405, 89, 1165, 1348, 1181, 828, 1009, 332, 78, 1211, 1054, 903, 1100, 1299, 766, 109, 3286, 3468, 3511, 3183, 3184, 1395, 237, 3066, 2859, 3187, 2484]\n",
        "vaccine_1 = []\n",
        "vaccine_2 = []\n",
        "\n",
        "delay = 14\n",
        "#global vaccine_1, vaccine_2\n",
        "vaccine_1 = [0]*delay + raw_vaccine_1\n",
        "vaccine_2 = [0]*delay + raw_vaccine_2\n",
        "vaccine_1 = vaccine_1[start:end]\n",
        "vaccine_2 = vaccine_2[start:end]"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 381
        },
        "id": "aCn0qbDIxs-w",
        "outputId": "140f859c-35fa-4a7f-b2ca-a78c14bb2a24"
      },
      "source": [
        "L1 = [vaccine_1[0]]\n",
        "L2 = [vaccine_2[0]]\n",
        "for i in range(1,days):\n",
        "  L1.append(L1[-1] + vaccine_1[i])\n",
        "  L2.append(L2[-1] + vaccine_2[i])\n",
        "\n",
        "t = list(range(end-start))\n",
        "\n",
        "f1, ax1 = plt.subplots(1, 1, figsize=(10,5))\n",
        "\n",
        "ax1.plot(t, L1, 'b--', alpha=0.7, linewidth=2, label='vaccined (1)')\n",
        "ax1.plot(t, L2, 'k--', alpha=0.7, linewidth=2, label='vaccined (2)')\n",
        "\n",
        "ax1.set_xlabel('Time (days)', labelpad=16, size=16)\n",
        "ax1.set_ylabel('Populations (people)', labelpad=16, size=16)\n",
        "\n",
        "ax1.yaxis.set_tick_params(length=0)\n",
        "ax1.xaxis.set_tick_params(length=0)\n",
        "ax1.grid(b=True, which='major', c='w', lw=2, ls='-')\n",
        "legend = ax1.legend()\n",
        "legend.get_frame().set_alpha(0.5)\n",
        "for spine in ('top', 'right', 'bottom', 'left'):\n",
        "  ax1.spines[spine].set_visible(False)\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
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              "\n",
              "\n",
              "<style>\n",
              "\n",
              "</style>\n",
              "\n",
              "<div id=\"fig_el621398363101161767301802395\"></div>\n",
              "<script>\n",
              "function mpld3_load_lib(url, callback){\n",
              "  var s = document.createElement('script');\n",
              "  s.src = url;\n",
              "  s.async = true;\n",
              "  s.onreadystatechange = s.onload = callback;\n",
              "  s.onerror = function(){console.warn(\"failed to load library \" + url);};\n",
              "  document.getElementsByTagName(\"head\")[0].appendChild(s);\n",
              "}\n",
              "\n",
              "if(typeof(mpld3) !== \"undefined\" && mpld3._mpld3IsLoaded){\n",
              "   // already loaded: just create the figure\n",
              "   !function(mpld3){\n",
              "       \n",
              "       mpld3.draw_figure(\"fig_el621398363101161767301802395\", {\"width\": 720.0, \"height\": 360.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-9.15, 192.15], \"ylim\": [-270551.05, 5681572.05], \"xdomain\": [-9.15, 192.15], \"ydomain\": [-270551.05, 5681572.05], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 10, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 8, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el62139836468017552\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", \"id\": \"el62139836309220240\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"data\", \"id\": \"el62139836309257808\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"id\": \"el62139836309371920\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"axes\", \"id\": \"el62139836309406288\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 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              "   }(mpld3);\n",
              "}else if(typeof define === \"function\" && define.amd){\n",
              "   // require.js is available: use it to load d3/mpld3\n",
              "   require.config({paths: {d3: \"https://d3js.org/d3.v5\"}});\n",
              "   require([\"d3\"], function(d3){\n",
              "      window.d3 = d3;\n",
              "      mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
              "         \n",
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4963965.0], [165.0, 5340968.0, 4970423.0], [166.0, 5341711.0, 4972335.0], [167.0, 5348675.0, 4979686.0], [168.0, 5354879.0, 4986654.0], [169.0, 5360922.0, 4993339.0], [170.0, 5367072.0, 5000239.0], [171.0, 5372814.0, 5007706.0], [172.0, 5375398.0, 5010938.0], [173.0, 5376077.0, 5012149.0], [174.0, 5380793.0, 5018974.0], [175.0, 5386124.0, 5026698.0], [176.0, 5390470.0, 5033113.0], [177.0, 5394780.0, 5040207.0], [178.0, 5398971.0, 5047292.0], [179.0, 5400702.0, 5050292.0], [180.0, 5401084.0, 5051112.0], [181.0, 5404240.0, 5057063.0], [182.0, 5407639.0, 5062693.0], [183.0, 5411021.0, 5067221.0]], \"data02\": [[0.01612903225806453, 0.9503311258278145, 0.8951434878587198], [0.051971326164874564, 0.9503311258278145, 0.8951434878587198]], \"data03\": [[0.01254480286738352, 0.8601913171449596], [0.1810035842293907, 0.8601913171449596], [0.18458781362007168, 0.8601913171449596], [0.18458781362007168, 0.8675496688741722], [0.18458781362007168, 0.9742457689477557], [0.18458781362007168, 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              "      });\n",
              "    });\n",
              "}else{\n",
              "    // require.js not available: dynamically load d3 & mpld3\n",
              "    mpld3_load_lib(\"https://d3js.org/d3.v5.js\", function(){\n",
              "         mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
              "                 \n",
              "                 mpld3.draw_figure(\"fig_el621398363101161767301802395\", {\"width\": 720.0, \"height\": 360.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-9.15, 192.15], \"ylim\": [-270551.05, 5681572.05], \"xdomain\": [-9.15, 192.15], \"ydomain\": [-270551.05, 5681572.05], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 10, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 8, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": 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1000002.0, \"drawstyle\": \"default\"}], \"paths\": [{\"data\": \"data03\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"pathcodes\": [\"M\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"Z\"], \"id\": \"el62139836309370448\", \"dasharray\": \"none\", \"alpha\": 0.5, \"facecolor\": \"rgba(255, 255, 255, 0.5)\", \"edgecolor\": \"rgba(204, 204, 204, 0.5)\", \"edgewidth\": 1.0, \"zorder\": 1000000.0}], \"markers\": [], \"texts\": [{\"text\": \"Time (days)\", \"position\": [0.5, -0.1085356880058867], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"hanging\", \"rotation\": -0.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": \"el62139836309552144\"}, {\"text\": \"Populations (people)\", \"position\": [-0.046370967741935484, 0.5], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"auto\", \"rotation\": -90.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": 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              "            })\n",
              "         });\n",
              "}\n",
              "</script>"
            ],
            "text/plain": [
              "<Figure size 720x360 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "5Ua_gsRAsa6N"
      },
      "source": [
        "def mimic_SIHRD_V(days, initial, alpha, beta, r_I, r_H, eta, v1, v2):\n",
        "  t = np.linspace(0, days-1, days)\n",
        "  [S0, I0, H0, R0, D0] = initial\n",
        "\n",
        "  V = [vaccine_1[0]*v1 + vaccine_2[0]*v2]\n",
        "  S = [S0 - V[0]]\n",
        "  I = [I0]\n",
        "  H = [H0]\n",
        "  R = [R0]\n",
        "  D = [D0]\n",
        "  \n",
        "  for i in range(days-1):\n",
        "    populations = [S[-1],I[-1],H[-1],R[-1],D[-1]]\n",
        "    (dS, dI, dH, dR, dD) = get_diff_SIHRD(populations, alpha, beta, r_I, r_H, eta)\n",
        "    dV = ((vaccine_1[i] * v1)  +  (vaccine_2[i] * v2) ) * (S[-1]/(S[-1]+I[-1]))\n",
        "    #if dV<0:\n",
        "    #  print(i, vaccine_1[i], v1, vaccine_2[i], v2, S[-1], I[-1])\n",
        "    #  0/0\n",
        "    dS = dS - dV\n",
        "    V.append(V[-1]+dV)\n",
        "    S.append(S[-1]+dS)\n",
        "    I.append(I[-1]+dI)\n",
        "    H.append(H[-1]+dH)\n",
        "    R.append(R[-1]+dR)\n",
        "    D.append(D[-1]+dD)\n",
        "\n",
        "  return (t, V, S, I, H, R, D) #以陣列回傳"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "IccFKwZs1smr"
      },
      "source": [
        "#alpha, beta, r_I, r_H, eta, I0, H0 = [0.5]*5 + [1000]*2\n",
        "#alpha, beta, r_I, r_H, eta, I0, H0 = [0.75, 0.37, 0.666, 0.648, 0.532, 2000, 5]\n"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "zWgOj5KUxNOv",
        "outputId": "5d25646a-4477-42a2-88d3-2ced51d0bcbc"
      },
      "source": [
        "v1 = 0.46\n",
        "v2 = 0.92 - 0.46\n",
        "\n",
        "def error_function_SIHRD_V(parameters):\n",
        "  global alpha, beta, r_I, r_H, eta, I0, H0, v1, v2, delay\n",
        "  alpha = parameters[0]\n",
        "  beta = parameters[1]\n",
        "  r_I = parameters[2]\n",
        "  r_H = parameters[3]\n",
        "  eta = parameters[4]\n",
        "  I0 = parameters[5]\n",
        "  H0 = parameters[6]\n",
        "\n",
        "  D0 = real_Total_Deaths[0]\n",
        "  R0 = real_Total_Infected[0] - H0 - D0\n",
        "  S0 = N - I0 - H0 - R0 - D0\n",
        "  \n",
        "  #(S0, I0, H0, R0, D0) = (N-100, 100, 0, 308500, real_Total_Deaths[0])  #初始條件\n",
        "  (t, V, S, I, H, R, D) = mimic_SIHRD_V(days, [S0, I0, H0, R0, D0], alpha, beta, r_I, r_H, eta, v1, v2)\n",
        "\n",
        "  predicted_Total_Infected = []\n",
        "  for i in range(days):\n",
        "    predicted_Total_Infected.append(H[i]+R[i]+D[i])\n",
        "\n",
        "  error = 0\n",
        "  for i in range(days):\n",
        "    error += (real_Total_Infected[i]-predicted_Total_Infected[i])**2\n",
        "    error += (real_Total_Deaths[i]-D[i])**2 *50\n",
        "\n",
        "  for i in parameters[:5]:\n",
        "    error += int(i<0.00)*(0.0-i+1)**2*10000000000000000\n",
        "\n",
        "  error += int(parameters[2]>parameters[3])*(parameters[2]-parameters[3]+1)**2*10000000000000000  # r_I < r_H\n",
        "  \n",
        "  for i in parameters[5:7]:\n",
        "    error += int(i<0.00)*(0.0-i+1)**2*10000000000000000\n",
        "  return error\n",
        "\n",
        "for i in range(10):\n",
        "  Result = minimize(error_function_SIHRD_V, [alpha, beta, r_I, r_H, eta, I0, H0], method = 'Nelder-Mead', options={'maxiter':3e3})\n",
        "  print(i, int(Result.fun/1e9), Result.fun, list(Result.x))\n",
        "print()\n",
        "print(Result)\n",
        "[alpha, beta, r_I, r_H, eta, I0, H0] = list(Result.x)\n",
        "\n",
        "#16 16686025641.827812 [0.2317904838749003, 0.005348218590426497, 0.18407090948344113, 0.1840709094848607, 0.05958486575943296, 5771.937607756476, 2.8999109928815926e-20]\n",
        "#16 16686023721.578089 [0.23179061453894068, 0.005346722533203939, 0.18407279322484288, 0.18407279322561712, 0.059606936446012296, 5772.033977634016, 2.265453895233127e-23]\n",
        "#16 16686022865.22193 [0.231790747761827, 0.005345995737406123, 0.1840734259391208, 0.1840734259396059, 0.05961809582229156, 5771.951810866775, 6.75153568027982e-21]\n",
        "#16 16685545575.21309 [0.2316521893336556, 0.004574204225282267, 0.18472582145152, 0.18472582146250938, 0.0737606449543231, 5779.122202783885, 1.2904908845324902e-25]\n",
        "#16 16685545575.174334 [0.2316521823397215, 0.004574201711055673, 0.1847258130836359, 0.18472581308426383, 0.07376069182414875, 5779.120774226071, 2.0686859942838086e-25]\n",
        "\n",
        "#16 16783773668.08467 [0.2317216017053875, 0.18940175015557187, 1.0645464987242134e-14, 1.9733766887609405, 0.013453982772185923, 5775.7593657427, 3.1603211573045575e-08]\n",
        "#16 16783706175.58118 [0.231760811071398, 0.18943465843729618, 8.244635520586252e-20, 1.9828397220421041, 0.013518290249622577, 5773.682947001909, 1.3066494438113764e-11]"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "0 215 215074198668.83875 [0.7578031488521203, 0.651491728610043, 1.47061816405948e-09, 2.0256951041173985, 0.013861945382711297, 283.2343289088617, 3.3776091314353227]\n",
            "1 213 213842098534.91174 [0.7585820634606242, 0.6501423506297659, 2.497791512822235e-19, 2.023362247263248, 0.01373673933551671, 248.42636501475073, 0.13570336038620806]\n",
            "2 16 16790887669.281826 [0.2317767505645395, 0.1894479738093447, 7.671682036770308e-15, 1.9723322183637948, 0.013385158974996899, 5772.458631781512, 1989.5027455464583]\n",
            "3 16 16783773668.08467 [0.2317216017053875, 0.18940175015557187, 1.0645464987242134e-14, 1.9733766887609405, 0.013453982772185923, 5775.7593657427, 3.1603211573045575e-08]\n",
            "4 16 16783773332.494898 [0.23171560838508762, 0.1893967309607207, 9.109002587362535e-15, 1.9735590411500146, 0.013455193787312969, 5776.093718352464, 3.2718145721936317e-14]\n",
            "5 16 16783772796.792543 [0.2317194989022877, 0.18939987176324502, 1.0343676956555797e-21, 1.9735290382083863, 0.013454654583701164, 5775.825303084157, 3.0583859952267684e-13]\n",
            "6 16 16783706175.581146 [0.23176081107139804, 0.1894346584372962, 8.244635438683383e-20, 1.9828397220421041, 0.013518290249622589, 5773.682947001909, 1.3066494308310159e-11]\n",
            "7 16 16783706175.58118 [0.231760811071398, 0.18943465843729618, 8.244635455063775e-20, 1.9828397220421041, 0.013518290249622578, 5773.682947001909, 1.3066494334270594e-11]\n",
            "8 16 16783706175.58118 [0.231760811071398, 0.18943465843729618, 8.244635520586252e-20, 1.9828397220421041, 0.013518290249622577, 5773.682947001909, 1.3066494438113764e-11]\n",
            "9 16 16783706175.581152 [0.2317608110226642, 0.18943465839378432, 8.253227045552403e-20, 1.9828397234475723, 0.01351829025631514, 5773.682949037088, 1.3080104508047796e-11]\n",
            "\n",
            " final_simplex: (array([[2.31760811e-01, 1.89434658e-01, 8.25322705e-20, 1.98283972e+00,\n",
            "        1.35182903e-02, 5.77368295e+03, 1.30801045e-11],\n",
            "       [2.31760811e-01, 1.89434658e-01, 8.25322705e-20, 1.98283972e+00,\n",
            "        1.35182903e-02, 5.77368295e+03, 1.30801045e-11],\n",
            "       [2.31760811e-01, 1.89434658e-01, 8.25322705e-20, 1.98283972e+00,\n",
            "        1.35182903e-02, 5.77368295e+03, 1.30801045e-11],\n",
            "       [2.31760811e-01, 1.89434658e-01, 8.25322705e-20, 1.98283972e+00,\n",
            "        1.35182903e-02, 5.77368295e+03, 1.30801045e-11],\n",
            "       [2.31760811e-01, 1.89434658e-01, 8.25322705e-20, 1.98283972e+00,\n",
            "        1.35182903e-02, 5.77368295e+03, 1.30801045e-11],\n",
            "       [2.31760811e-01, 1.89434658e-01, 8.25322705e-20, 1.98283972e+00,\n",
            "        1.35182903e-02, 5.77368295e+03, 1.30801045e-11],\n",
            "       [2.31760811e-01, 1.89434658e-01, 8.25322705e-20, 1.98283972e+00,\n",
            "        1.35182903e-02, 5.77368295e+03, 1.30801045e-11],\n",
            "       [2.31760811e-01, 1.89434658e-01, 8.25322705e-20, 1.98283972e+00,\n",
            "        1.35182903e-02, 5.77368295e+03, 1.30801045e-11]]), array([1.67837062e+10, 1.67837062e+10, 1.67837062e+10, 1.67837062e+10,\n",
            "       1.67837062e+10, 1.67837062e+10, 1.67837062e+10, 1.67837062e+10]))\n",
            "           fun: 16783706175.581152\n",
            "       message: 'Maximum number of iterations has been exceeded.'\n",
            "          nfev: 25374\n",
            "           nit: 3000\n",
            "        status: 2\n",
            "       success: False\n",
            "             x: array([2.31760811e-01, 1.89434658e-01, 8.25322705e-20, 1.98283972e+00,\n",
            "       1.35182903e-02, 5.77368295e+03, 1.30801045e-11])\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 745
        },
        "id": "IpbsHwSopCFR",
        "outputId": "2ffd9355-7924-4983-9f89-8d926659b0ad"
      },
      "source": [
        "D0 = real_Total_Deaths[0]\n",
        "R0 = real_Total_Infected[0] - H0 - D0\n",
        "S0 = N - I0 - H0 - R0 - D0\n",
        "(t, V, S, I, H, R, D) = mimic_SIHRD_V(days, [S0, I0, H0, R0, D0], alpha, beta, r_I, r_H, eta, v1, v2)\n",
        "plot_SIHRD(t, S, I, H, R, D)\n",
        "\n",
        "#S = V\n",
        "#plot_SIHRD(t, S, I, H, R, D, show = ['S'])"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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NN8HJJ/t9L7ygMc9EpKZx48Yxc+ZMioqKAFi3bh0bNmzgsMMOY/bs2Xz//fcAFBQUANCxY0cKCwsB6NSpE3369GH27NmAD3jLly8HYOTIkTz++OOAv7GgrVIoE5Ed5OTAQQf5Mc0eeMD3Ozv1VBg40F/G/OADuOsuOOUUuPVWCP6eFZEUd+SRR3LyySdXdcqfNGkShYWFDBgwgN///veMGTOGvLw8LrroIgBOPPFEbr75ZgYPHszq1auZNWsW999/P3l5eQwYMIC5c+cCcNttt3HXXXcxaNAg1q1bl8iPGFeakFxEGmXrVnjnHfjPf2DFCn/HZnY2TJ0KxxzjL4eKiCYkl8ZPSK5QJiJN9u23cP/91fNq9u0LF17o7+IUSXUKZaJQJiItbskSf9fmd9/5lrKpU/14aGo1k1SmUCYKZSKSENu3w8yZ8Pzzfn2nneCII/zNArvsktjaRBJBoUwUykQkod59F+67D776qnrbvvvC6NEwapQfuFYkFSiUiUKZiCScc36MsxdegIULq+fWzM6Giy6CAw9MbH0iLUGhTBTKRCSpbN/u79Z86SU/vyb4sc5OPFGzBEjbplAmjQ1lUY9TZmaZZnaAmZ1gZlPNbJyZ9W5amSKSKrKz/aXL6dPh9NN9EHv0UfjTn6COAcFFJIl0qDUJ7oMPPsh5550X0/c46KCDAFi7di2PPvpog8evXbuWgQMHArBkyRLOP//8Ztcwbdo0nnrqqWafp7nqvTfKzALAROAMYAyQSc2E58xsHfAY8Hfn3GfxKlREWjczP5XTnnv6QPbmm1BWBpdfrrs0RVLZwoULgepQdvLJJ0f92mHDhjFs2LB4ldbiIraUmdkk4GPgH0AJcCVwBJAH9AcOAE4GnsIHt4/M7O9mpvusRCSioUPhj3/082cuWgQ33ODDmYi0LmvXruWwww4jNzeXsWPH8uWXXwIwe/ZsBg4cSF5eHqNHjwZ8C9txxx3HIYccQr9+/bjuuuuqzhNqjbv88stZsGAB+fn53Hrrraxdu5ZRo0YxZMgQhgwZUhXewr322mscc8wxABx11FHk5+eTn59P586deeihh6ioqOCSSy5h+PDh5Obmcu+99wJ+CqfzzjuPffbZh8MPP5wNGzbE9buKVn1/n94O/Al40Dn3Q4Rj3gGeAC4ysxHAZcCvgT/EtEoRaVP69YPrr4crr/T9zWbMgMsugzRN/CZSp/ffPzYu5x00qP6JzouLi8nPz69aLygoYMKECQD85je/4dRTT+XUU09l5syZnH/++cyZM4fp06fz4osvsscee/DDD9Xx4Z133uGDDz4gJyeH4cOHc/TRR9do5brxxhuZMWMG8+bNA2Dbtm289NJLZGdns2rVKk466SSWLFkSsdbnnnsOgKVLl3Laaadx/PHHc//999O5c2cWL15MSUkJI0eO5Mgjj+S9997jk08+YeXKlXz33Xfst99+nH766Y3/AmOsvlDW1zm3PdoTOecWASeYWXbzyxKRtm7vvX0w+93v/B2a99wDZ5+tzv8iyaRdu3YsC92hg2/xCgWjt99+m6effhqAU045hUsvvRTwk4dPmzaNn/3sZ5xwwglVrz3iiCPYeeedATjhhBN488036730WFZWxnnnnceyZcsIBAJ8+umnDda7adMmTjnlFJ588kk6d+7M/PnzWbFiRVV/sc2bN7Nq1SreeOMNTjrpJAKBALvvvjuHHXZYI7+Z+IgYyhoTyGLxOhFJPX37wlVX+eX556FrV39XpojU1FCLVjK55557WLRoEf/+978ZOnQoS5cuBcBq/cVVe722W2+9lV122YXly5dTWVlJdnb9bT4VFRWceOKJXH311VU3AjjnuOOOOxg3blyNY0OtasmmMXdfmplNMLMZZvaAme0V3D7GzHTPr4g0yYABcMklvoVs1iw/tpmIJL+DDjqIxx9/HIBZs2YxatQoAFavXs2IESOYPn063bt356vgSNIvvfQSBQUFFBcXM2fOHEaOHFnjfB07dqSwsLBqffPmzey2226kpaXxyCOPUFFRUW89l19+Obm5uZwY9pfduHHjuPvuuykLdlz99NNP2bp1K6NHj+aJJ56goqKC9evX8+qrrzb/C4mBqO55MrOdgOeAEUAh0AG4A/gC+BVQADT/nlQRSUkHHgjnnAN33QV//aufomnEiERXJSL1ueOOOzjttNO4+eab6d69Ow888AAAl1xyCatWrcI5x9ixY8nLy2PZsmXsv//+/PSnP+Xrr7/m5z//+Q6XLnNzcwkEAuTl5TFt2jTOOeccfvrTn/Lwww8zfvx42rdvX289M2bMYMCAAVV94KZPn84ZZ5zB2rVrGTJkCM45unfvzpw5c5g4cSKvvPIK++23H3vuuScHJsmI1lENHmtm9wHjgcnAYqAUGOace9fMpgGXOOcGxLPQemjwWJE24tFH4bHHIDPT36G5776Jrkik6TR4bLVQX7Q777wz0aW0qHgNHnsc8Hvn3NvsGIK+BHpFXaGISAQnnQTjx/tpma67Dr7+OtEViYi0nGhDWQdgXYR92dST+kREomUGZ53lL11u3epnAQjrYiIirdS0adNSrpWsKaINZZ8AR0bYNwZ4PzbliEiqCwTg4ov9nZnr18ONN2o6JhFJDdGGsr8CvzWz3wN7Brd1MbPTgPOAu+JRnIikpuxsP0xGly6wYgXcfjsUFye6KhGR+Iqqoz+Amd0IXIy/VGn4vmWVwJ+cc7+PW4UNU0d/kTbqk0/84LKlpX4Ms9NOgzFjNMCstA7q6C+N7egfdSgDCI5NdgTQA/geeMk5t6YJdcaSQplIG/bZZ360/08+8ev9+8Mpp0BensKZJDeFMolrKEtSrf4DiEj9nIP//AcefBA2b/bbBg6E88+H3XZLaGkiEbWFUBYIBBg0aBDl5eX06dOHRx55hC5duiS6rEa59tpr6dChAxdffHGLv3fMhsQwsz0bs8TqA4iI1GYGhx8O990Hp54KHTrABx/4S5ubNiW6OpG2KzT35QcffEDXrl25667k6ELunKOysjLRZcRcfR391wKfN2IREYmr7GyYNMmHs3339YHsyiurW89EJH4OPPBA1q3zo2OtXr2a8ePHM3ToUEaNGsXHH38MwHfffcfEiRPJy8sjLy+PhQsXAvDnP/+ZgQMHMnDgQP7yl78Aflqk8JB37bXXMmPGDABuvvlmhg8fTm5uLtdccw0Aa9euZZ999uEXv/gFAwcO5KuvvqrzOIDrr7+e/v37c/DBB/NJqO9DK1DfNEuno0uDIpKE2reHa66BK66Azz+Hq6+G//f//HaRtujYx46Ny3n/dVJ0E51XVFTwn//8h1/+8pcA/PrXv+aee+6hX79+LFq0iHPOOYdXXnmF888/nzFjxvDMM89QUVFBUVERS5cu5YEHHmDRokU45xgxYgRjxoxhypQp/Pa3v+Xcc88F4Mknn+TFF19k/vz5rFq1infeeQfnHBMmTOCNN95gzz33ZNWqVTz00EMccMABEY9r3749jz/+OMuWLaO8vJwhQ4YwdOjQuHx/sRYxlDnnHmzBOkREGqV9ez+47GWXwZo1/vn06ZCVlejKRNqO4uJi8vPzWbduHfvuuy9HHHEERUVFLFy4kMmTJ1cdV1JSAsArr7zCww8/DPj+aJ07d+bNN99k4sSJVXNXnnDCCSxYsIDzzz+fDRs28M0337Bx40Z22mknevXqxW233cb8+fMZPHgwAEVFRaxatYo999yTvfbaiwMOOACA+fPn13lcYWEhEydOJCcnB4AJEya0zJcVA1FNSB7OzHYH9gDWOee+iX1JIiLR6dLFz5F56aWwciXccIO/nJne6N9sIskt2hatWAv1Kdu2bRvjxo3jrrvuYtq0aXTp0oVly5Y1+/yTJ0/mqaee4ttvv2XKlCmA7y92xRVXcOaZZ9Y4du3atTUmJY90XOjyaGsU7eCxmNkvzOxz4Cvgv8BXZva5mf08btWJiDSge3f4wx+gc2dYuhRuuQXaYP9fkYTKycnh9ttv55ZbbiEnJ4c+ffowe/ZswIej5cuXAzB27FjuvvtuwF/y3Lx5M6NGjWLOnDls27aNrVu38swzzzBq1CgApkyZwuOPP85TTz1V1fI2btw4Zs6cSVFREQDr1q1jw4YNO9QU6bjRo0czZ84ciouLKSws5F//SkygbYqoQpmZnQc8CKwCfgVMCD5+BjxkZufGq0ARkYb07OkvXebkwJtvwp13+mE0RCR2Bg8eTG5uLo899hizZs3i/vvvJy8vjwEDBjB37lwAbrvtNl599VUGDRrE0KFDWblyJUOGDGHatGnsv//+jBgxgjPOOKPqkuOAAQMoLCxkjz32YLfg+DZHHnkkJ598MgceeCCDBg1i0qRJFNYxCW6k44YMGcKUKVPIy8vjJz/5CcOHD2+5L6mZohqnLNhC9qpz7vQ69j0IjHHO9Yl9eVHRr14RAfwlzKuu8jMATJzoZwDQALOSKG1hnDJpnpiNU1bLrsDjEfY9CuwS5XlEROJmv/382GXp6fDMMxC8uiIi0ipEG8reB/aOsK8f8EFsytmRmXUxs6fM7GMz+8jMDozXe4lI6zd0KPzf//kWskcegXnzEl2RiEh0or1H6QLgcTPbBDztnKswswDwU+AS4MR4FQjcBrzgnJtkZplAThzfS0TagIMPhuJiuP12uPde39fssMMSXZWISP2iDWVPAp3wlzArzOx/wE5AACgCnrTqjhvOObdXLIozs87AaGBa8MSlQGkszi0ibdsRR0BREcycCbfd5sc1GzEi0VWJiEQWbSj7D4npUN8H2Ag8YGZ5wFLgAufc1gTUIiKtzMSJsHUrPPEE3HgjXHst5OUluioRkbpFdfdlopjZMPyYaCOdc4vM7DZgi3PuqrDDkvcDiEjCOQd/+5vvW5ad7Qeb3WefRFclqUB3X0q87r5MlK+Br51zi4LrTwFDEliPiLQyZvDrX8Ohh8L27b617I03NI6ZSDQCgQD5+fkMGDCAvLw8brnlFipjNDpz+ATk4jVmRP9BwbsgN5pZefDxSTMbFK/inHPf4mcOCP1dOxZYGa/3E5G2yQwuuAAOOMD3M7v5ZrjwQnj3XYUzkfqEpln68MMPeemll3j++ee57rrrEl1WmxXtiP7DgUXAocA84Obg42HAf80sntOv/waYZWYrgHzg/8XxvUSkjQoE4PLL4Te/ga5dYfVquOYaOPdceO4534omIpH16NGDv/3tb9x5550456ioqOCSSy5h+PDh5Obmcu+99wJ+YvCxY8cyZMgQBg0aVDXaP8D1119P//79Ofjgg/nkk08S9VGSVrQj+r+Mv/tyrHOuMGx7R+BlYLNz7si4VVk//Z0rIo1SUgL/+pdfCgr8tq5d4fzz/ThnIrEQyz5lxx57bEzOU1tD80J26NCham7JkC5duvDJJ58wd+5cNmzYwJVXXklJSQkjR45k9uzZ9OrVi23bttGpUyc2bdrEAQccwKpVq3j33XeZNm0aixYtory8nCFDhnDWWWdx8cUXx+WzJYPG9imL9u7LA4BTwgMZgHOu0MxuAh5qVJUiIgmUlQWTJsHxx8N//wtPPw2rVvn+ZuPHwy9/6W8KEJHI5s+fz4oVK3jqqacA2Lx5M6tWraJnz5787ne/44033iAtLY1169bx3XffsWDBAiZOnEhOjh9udMKECYksPylFG8oaao1Sa5WItDrp6X6g2YMO8sFs1ix44QVYsgTOPNOPa6a5MyUZNNSi1VLWrFlDIBCgR48eOOe44447GDduXI1jHnzwQTZu3MjSpUvJyMigd+/ebFf/gKhE29F/EfC74OXKKmbWHrgMP2yFiEirlJbmW85uvRX23hs2bYLrr4c//AHWrUt0dSLJYePGjZx11lmcd955mBnjxo3j7rvvpqysDIBPP/2UrVu3snnzZnr06EFGRgavvvoqX3zxBQCjR49mzpw5FBcXU1hYmDRBM5lE21L2O+A14Aszmwesx09SfhR+2qND4lGciEhL6t0b/vxn3/H/kUdg8WJYutTPDnDiidCtW6IrFGlZxcXF5OfnU1ZWRnp6OqeccgoXXXQRAGeccQZr165lyJAhOOfo3r07c+bMYerUqRx77LEMGjSIYcOG8eMf/xiAIXEA5GsAACAASURBVEOGMGXKFPLy8ujRowfDhw9P5EdLSlEPHmtmucDVwCigK1AAvA78wTn3ftwqbJgunYpIzBUUwKOPwksvQWUlZGbCCSf4FrWsrERXJ62BBo+Vxnb0T+oR/aPU6j+AiCSvdet8q9lbb/n1bt3g9NN9XzT1N5P6KJRJXEOZmaUB+wE7A0uSZA5KhTIRibsPP/TTNa1Z49cPOMCPcdalS2LrkuSlUCZxm2bJzM4FvgVWAK8A+wS3zzGz8xtfqohI6zFggL8R4NxzoV07P5TGOefAnDnw/feJrk5E2oJoB4/9FXA3MBOYDzwJDHPOvWtm/wdMcM6NiWulkamlTERa1MaNcPvtsGyZXzeD/faDIUNg4EDo1w8yMhJboySeWsokLpcvzewj4Fnn3GVmFgDKqA5lRwP3O+d2bUbdzaFQJiItzjl4+214/XV/l2ZwVADAt6SdfDIce6yf3klSk0KZxGtE/z7AixH2bQXUq0JEUoqZH3T2oIOguNgPnfH++3756iu4/3547TU47zz40Y8SXa2ItAbRhrJNQO8I+/YBNLyiiKSsdu383ZgHH+zXFy+Gu+/2k55fdBFMmABTp/rjREQiibaj/zzgajPrG7bNmVk34EJgTswrExFppYYPh7/+FSZO9Otz5/qbAhYvTmxdIpLcou1T1g14C+iFn3JpNLAQ+DGwATjIObc5jnXWR33KRCRprVkDd97pJzwHOPJIOOMMtZqlAvUpk7gMieGc2wQMA24AMoDV+EufdwIHJjCQiYgktb59YcYMP+BsRgbMnw/nnw8ffZToykQk2WhEfxGRFvLFF3DLLfD55/5GgcmT4aSTID3a3r3SqqilTOI2eCyAmXUys4PMbLKZHWhmHZtSpIhIKtprLx/KJk3y608+CRdf7KdyEhFpzIj+VwNfAQuAJ/B9zL42syvjVJuISJuTkQGnngo33AA9evg7NC+8EN58M9GViUiiRRXKzOw64Fp8GDsCGAQcjh/Z/zozuzZO9YmItEkDBsAdd/hhNIqL4aab/B2bGzYkujIRSZRo7778BpjlnLukjn0zgJOdc4m6cK4+ZSLSajkH//63H2y2vNz3NRs8GA47DIYNg/btE12hNJX6lEm8RvTvTOQR/V8Azo7yPCIiEsYMjjnGz5359NOwcCG8+65fAgHfonb88X7sMxFp26INZYuA4cDLdewbHtwvIiJN1Lev7/RfWOinZ3r7bfjwQ1ixwi9HHeWH1cjKSnSlIhIv0V6+HAg8A/wNmA18B+wC/Az4FXAc8HHoeOdcZTyKjUCXL0WkTSoqghdfhH/8w1/a7NULLrvM38UpyU+XL6Wxly+jDWWhkFXXwVZru3POteSoOwplItKmrVkDN98MX3/tW8ouuABGjUp0VdIQhTKJV5+y6Sj8iIgkRN++cOutcNdd/tLmn/7kp2069VTf70ySl3MOs4j/D5Y2rCmD82tEfxGRVsI5mDfP36lZUQGDBvnLmZ07J7oyqcvGjRvJzs6mQ4cOCmYpxjlHUVER27dvp3v37rV3N+/yZZJr9R9ARKQxVq6EG2+E//0PunWDK66A/v0TXZXUVlFRQUFBAWVlZYkuRRIgIyODrl27EtixObvxoczMLgL+6pzbHm0BZjYE6OGceyHa18SAQpmIpJyCAh/MPvrIX8I86SQ/fZMuZ4okvSaFsveAXYGHgMecc8sjHLcTcAxwCnAwMM0592RzK24EhTIRSUnl5fDAA/Dss369Xz8/ZVOvXomtS0Tq1aRQZvig9X/4aZW2AO8DG4ESYCegL7B3cP0J4Drn3NoYFh4NhTIRSWnLl8Nf/gKbNkFmJpx1Fhx+uB+YVkSSTrOHxBgBjAdGALsD2cD3+LHJ3gDmOud+iEmpjadQJiIpb+tWuPdeePVVvz56NPzqV9ClS2LrEpEdqKO/iEgqeOUVuPtu2L7d9y8bMQKOOALy8yG9JUeQFJFIFMpERFLFunW+r9nixVAZHPo7JweGDoUxY2D//XVpUySBFMpERFJNQQH85z/w+uvwxRfV28eOhbPP1jyaIgmiUCYiksq+/RbeegsefRRKS6F3bz++mWYBEmlxCmUiIuJbzG64wV/izMnx82gedFCiqxJJKQplIiLibdsGt9/uW84AJk6EX/xCNwKItBCFMhERqeacH3T2gQf8PJoDBsCll0LXromuTKTNa/Y4ZQcBXZ1z84LrOwN3AgOBF4HLnHMVsam10RTKRESa6KOP/HRNBQV+TLNLL/UTnYtI3EQMZWlRnuBGYGjY+s3AUcCnwNnA75pcmoiIJMy++/pLmbm58MMP8Pvfw333+cFoRaRlRdtSthE/p+W/zSwDP5r/b51zM83st8CZzrl941xrJGopExFppspKmDULZs/2lza7dIFp0+CwwzSmmUiMNfvyZTFwpHNugZmNxE+ttJtzboOZjQaed861j1m5jaNQJiISI2vWwD33+MuaAPvsA2ee6Sc7F5GYaHYo+wz4i3PuTjP7I3Cscy4vuO844D7nXPdYVdtICmUiIjHkHLz2Gjz4oO9rZgYjR/opm4YMgU6dEl2hSKvW7FD2B+ACYD6+L9k1zrmbg/uuA45wziVqpBuFMhGROCguhieegLlzobzcbzODPfeEvfeGH/3IT3zeuXNi6xRpZZodygLA5cABwGLg+tDdlmY2B3jdOXdrbGptNIUyEZE42rAB3n4bliyBDz6oDmgAmZl+wvMTToAePRJXo0gronHKRESk+UpL4fPPYfVqH9IWL/bb09LgyCNhyhTo1i2xNYokOYUyERGJvS+/hKee8n3QnIOMDDj6aJg0SZc1RSJo9uXLTOAK4CRgTyCr1iHOOZeoCToUykREEmzdOvjHP+DNN/16djYcf7xf2ifq3nyR5NTsUHYbcC7wPPA+UFL7GOfcdc0osDkUykREksSaNfDII/7SJkDHjr7V7OijIav2n/MiqanZoWwd8Ffn3PWxrCpGFMpERJLMypXw8MPw4Yd+vWtXmDoVDj/c9z8TSWHNDmWbgYnOuVdiWVW0gnd/LgHWOeeOqbVboUxEJAk5B++951vOPvvMb+vbF371Kz8BumYKkBTV7FD2D+Az59y1MSwqamZ2ETAM6KRQJiLSujgHCxbAAw/Apk1+W48eMGwY5OVBnz6w664KaZIymh3KRgAPA7OA54CC2sc459Y0o8D63rsn8BBwPXCRQpmISOtUUgL//CfMmweFhTX3ZWf7gDZliqZ0kjav2aGsMmy1zhc45wKNr6thZvYUcAPQEbhYoUxEpHWrrPSXM5cuhY8/hrVr/XROIcOGwUknQf/+CStRJJ4ihrJoh7E4nQSEHzM7BtjgnFtqZoe09PuLiEjspaX5wBUeugoK4F//8q1oS5b4ZehQH8722SdxtYq0pKQePNbMbgBOAcqBbKAT8LRz7udhhyXvBxARkUbZsgWeecaHs+3b/TaFM2ljYjOiv5kZsB/QFd+vbKVroVQXbCnT5UsRkRRQVzgbPBiOOcaHtEBcOsyItIjmhzIzOwP4I9A9bPMG4Ern3P3NKi+69z8EhTIRkZSyZQvMmeMvbYbC2c47w7hxcNRRmspJWqVmd/SfCjwC/Af4B/AtsCswFRgL/Nw591hMSm08hTIRkTausBBefhleeAG++cZvy8iAQw/1A9L26wfpiZrsT6Rxmh3KlgMrnHOn1LHvEWCQcy6/WSU2nUKZiEiKcA7efx+efRbeecevgx9SY7/9/OC0vXr5sc9699bYZ5KUmh3KtgPHOederGPfOGCOc65ds0psOoUyEZEUtG4dPPecnzXgq6923N+vH5xwAhx0kKZ2kqTS7FC2Ebi8rr5jZvZL4AbnXI9mldh0CmUiIimuoMDPt/nllz6gLV9ePUDtbrvB8cfD2LGaFF2SQrND2cPAOGCSc25B2PYDgaeB+c65U2NQaFMolImISA0lJb4P2pw58O23flunTnD00X7RDQKSQM0OZbsCbwB7A+uA9fiO/j2Bz4DRzrnvYlJq4ymUiYhInSorYeFCePppWLXKb8vM9DcHHH007LlnYuuTlBSTITFy8CP7j6J6nLLXgQedc9tiUGRTKZSJiEi9nIMPP/ThbPHi6u19+8Jhh8GYMdClS+Lqk5QSm8Fjk1Sr/wAiItJyvvzSj3u2YAFs3eq3paXBkCFw8ME+qO2xh29RE4kDhTIREZFwpaW+1ezVV/1cmxUV1fvMoHt36NrVL3vvDbm5/o5OzSYgzdT4UGZma4CJzrnlZvY59Ycf55zbu3k1NplCmYiINMvmzb7lbMUK35L2zTfVY6CFa9cOBg6EvDzYd1/o0MGPkdapkwavlag1KZQ9AEx3zn1uZg/SQPhxzp3WnAqbQaFMRERiqrQUvv/eD7WxaZMfbmP5cj82Wl0yM2HQIH8JNDfX30CgsdEkAl2+FBERaa5Nm3xr2vLl8Pnnfj7Obdt8S1u47Gzo399fAu3SBTp29GOkZWb66aEyMvzznXaCnj19C5ykjGYPiXE1cJ9z7ps69u0G/Mo5N71ZJTadQpmIiCRUQYGfWeC99+Cjj2DDhsa9vls3Pz1UaNl1V9hlFx/qdFm0zWl2KKsADnTOvVPHvqHAO865RHV9VCgTEZGk8r//wWef+cfNm/3sAqWlfikrq36+caO/JFpeXvd5Qjcc7Lqrb3HLzPRLVlb10qMH7L67X3JyWvZzSpNEDGXR5u/6pnTdCShpVDkiIiJt2E47wfDh0R1bUQHffeenh/rqK/j6a7/+7be+X9uGDdG3vHXuXB3QQssuu/jg1qmTJmhPdvV19D8EOCy4eiXwAH40/3DtgKOBrc65KH/8Yk4tZSIi0iaVlfnWtO++gy1bfOtaSYlfSkuhuNiHt2++gfXr/bZIMjN9q1uPHv5yaXZ2dctbqPWtY0fYeWe/f+edNVZbnDTp7strgGuCqy7CSUqBlcC5zrm3m1lkUymUiYhIynPOt6x98011SPvmGx/oNm6EoqLGn7NjRz9OW06OvxkhO7t6ycjwLW9mPryFjsnJqfk8/DH0mhTX7D5llcABdfUpSwIKZSIiIg3Yts2Hsw0b/I0J4S1uocctW3yw27TJHxOpr1tTBQKRA1t2dt3BLy3NL1lZfn9dS1ZWqwp7GhJDREREoudcdUjbvt1fKt2+vXoJXSp1zj/fts0vxcWRH8vK4lOrWeTAFh76MjL83azhj5mZfl9Wlr9k27dvfGoMLzfijsaGMjPrAWTX3u6c+7LxdcWEQpmIiEgrUF6+Y1gLPQ+FvdDz4mJ/fEUFVFb61rzi4rqX+vrSNcbgwTA9/gN8Ne/uSzNLA/4InAl0iXCYZgMTERGRiNLTfT+1jh1je96KiuogFx76ai/l5b61LvQYGp5k+3Yf+vZO1ISRQdEOifFb4FzgJnw4ux6oBKYGH2+MS3UiIiIiDQgEoH17v7Rm0Xb0fx94EPgLUAYMc869a2YZwHzgdefctXGssz66fCkiIiKtRcTLl9FOl9oXWOKcqwDK8eOT4Zwrwwe105tboYiIiEgqizaUbaa6c/83wD5h+9KBrrEsSkRERCTVRNun7D1gP+DF4HKdmRXjW82uB96NT3kiIiIiqSHaPmVHAH2dc/ea2a7Av4Chwd1fAMc551bEr8x6qU+ZiIiItBaxHTzWzAzYG8gBPgr2LUsUhTIRERFpLTSiv4iIiEgSaPzgsWY2ujHv4Jx7ozHHi4iIiEi1iC1lwUnIo2mFMsA55xI1or9aykRERKS1aNI0S4fGoRARERERqYP6lImIiIi0nGaP6C8iIiIicRTV4LFm9koDhzjn3NgY1CMiIiKSkqId0T+NHS8T7oyfbmkj8GksixIRERFJNc3qU2ZmewNzgAudcy/HrKrGUZ8yERERaS3iN3ismU0FLnbODW7WiZpOoUxERERai7h29N8I9I/BeURERERSVrNCmZntDFwErI5NOSIiIiKpKdq7Lz9nx8uEmcAuwec/jWVRIiIiIqkm2rsvX2fHULYd+AKY7ZxTS5mIiIhIM2hEfxEREZGWE9uO/mbWvem1iIiIiEhtUYcyMxtjZq+bWTHwrZkVm9lrZjY6jvWJiIiIpISoLl+a2WTgcfzI/bOB74BdgUlAP+BE59xTcayzPrp8KSIiIq1F8waPNbOPgFXA8c65yrDtacCzwN7OuX1jUGhTKJSJiIhIa9HsPmV9gLvDAxlAcP2vQO8mlyYiIiIiUYeyVUCkzv3dgc9iU46IiIhIaoo2lP0euM7MhodvNLMRwLXAFTGuS0RERCSlRNunbAHwI6AH8BW+o/8uQK/g8/CWMuecGxOT4sx6AQ8H38sBf3PO3VbrMPUpExERkdai2R39X6MR4cc5d2i0xzbwvrsBuznn3jWzjsBS/M0GK8PfLhbvJSIiItICIoayqKZZcs4dErNSGsE5tx5YH3xeGLwLdA9gZb0vFBEREWllmjSifyKYWW9gMLAosZWIiIiIxF5jRvTfzcxmmNliM1sdfPyTme0azwKD790B+CfwW+fclni/n4iIiEhLi7ZPWX9gAbAT8BbwLX5E/4OA/wGjnHOr4lKgWQYwD3jROffnOg5RnzIRERFpLZrd0f8ZYCBwhHNubdj2vYD5wIfOuROaX+cO72vAQ0CBc+63EQ5TKBMREZHWotmh7AfgLOfc43XsOwn4q3Nup2aVWPf7HoxvoXsfCM0m8Dvn3HNhhymUiYiISGvRvLsvgUygMMK+wuD+mHPOvUk9xYuIiIi0FdG2lC0EtgBH1ZqQ3IB/A52dcyPjVmX91FImIiIirUWzW8qm4zvbf2RmT+DHDtsVmAz0A45uboUiIiIiqSyqljIAMxsP/BE/VpjhW6iWAlc5516MW4UNU0uZiIiItBbN7ujfDShyzm03sxz80Bj/c85ti12NTaZQJiIiIq1FxFAWcfBYMwuY2bVm9j/8pONbzOyfQKZzbl2SBDIRERGRNqG+PmVnAVcDrwGLgb7ARHyH/9PiXpmIiIhICol4+dLMlgGLnHNnhm07E7gTaO+cK22ZEhuky5ciIiLSWjT+8iW+ZWx2rW1PAAFgrxgUJSIiIiJB9YWyDvhLleFCA8h2jE85IiIiIqmpoXHK9jCzvmHrgbDtP4Qf6JxbE9PKRERERFJIfX3KKqm7v5bVtd05F6jj2JagPmUiIiLSWjRpRH/dYSkiIiLSQqIe0T+JtfoPICIiIimjSXdfioiIiEgLUSgTERERSQIKZSIiIiJJQKFMREREJAkolImIiIgkAYUyERERkSSgUCYiIiKSBBTKRERERJKAQpmIiIhIElAoExEREUkCCmUiIiIiSUChTERERCQJKJSJiIiIJAGFMhEREZEkkJ7oAkREJDU553A4Kl1ljcU5vw3A4aqODa2HXhd+jrqehx8fzfPQayOdN3R8g5+L+o+L9jzNeY9kep9ozpEsOmR2oHeX3gl7f4UyEZEk5pyjvLKc0opSyirL/GOFf6xrW1llGRWVFZRXllNeWU6F889D2xq7HtpW6SqpqKzYIUSFAlSlq6SSOraFjqvjda3pf9aSGobuNpRrD7k2Ye+vUCYi0kSVrpLt5dvZXr6dkvKS6ucVJRSXFVc9Dz+muLx4h+PrClbhj22ZYaRZWtVi5tcNw8wwrPrYsPXQczOrOk+N53W8LuKxtZ5H+57N/dwNHtMC7xOL94jV+0TzncTbXp33Suj7K5SJSMpxzlFSUUJRaRHFZcVsK9vG1rKtbCvbFnHZWrqV4vKax24v394i9aanpZMZyCQjLYPMQGaNJbQtI5BBRloGGYEMAhYgPS2dQFrwMQbrgbRAjfAUCk47bDOL6piABYDYhQKRtkChTERaNeccRaVFFJYWUlhSyJaSLTWe77BeuoXCkkLKKsti8v7Z6dl+CfjHrPSsqm1ZgSzaZbSrel51bPC4duntyErPqjNghW9TcBFJDQplIpI0yivLKSwppLA0LFCFrYeHrvCw1ZS+SRlpGXTM6khOeg45GTWX9pntaZfejvaZ7XfYF760S2+nwCQiMaNQJiIxF7o8WDtURQpZoYBVXF7cpPfLycihY2ZHOmV1olNWJzpmdqRjVseq552yOtVY75jVkaxAlgKViCQVhTIRqVfo8mDty4B1tV4VlhSypdSHrPLK8ka/V5ql+dAUFqoihaxQ0OqQ2YH0NP0qE5HWT7/JRFJIWUVZVXiK1HpVe72otKhJlwczA5nVgapWkApvvQrfl5ORo9YrEUlZCmUirVBZRVmNzu2hlqzwbTUeS/0xTb1bsH1G+6gvC4aeZ6VnxfhTi4i0bQplIgngnKO0opStZVvZWuqHVygqLaoabmFr6Va2lm2tEa6KSovYUrqlWeEqYAE6ZHaI6rJgaL1DZgcCaYEYfwMiIlKbQplII5VXllNcVlw1CGjoeWi8q9rBKvRYO3g1pc9VSChchUJV7cdQ8Kp9THZ6ti4PiogkKYUyabMqKisorSilpKKEkvKSGo+hMLW9fHvVIKChYFVX2KraX17crDAVLiMtg/aZ7Wmf4ZecjBw6ZHaoGpKhfUb7iIFLQzGIiLQ9CmUSd845KlxFjSlkyirKakwtE2lbeJiKFLBKK0qrt4Vtj1V4qi3N0miX3o52Ge38Y7ofHLRdRjsfqDLaV4etzFphK2xbZiAzLvWJiEjrpFDWSoUm/A1NHlw1cXCEiYgbmqS4xjkiTEhcVlFGeWV5dKGq1noiGEZWehZZgeASfJ4ZyKwaZT08XIWCVWhb7f2hbRphXURE4kGhrAHLv13OqoJVPgBVVlQFofDntfeFr9d3fKTXVm0j8ntWVFY0aZiCRAlYoMbcfJlpNefqq2v+voy0jOpQ1cBjZiBzh23paekKTyIi0moolDXgnXXv8Oynzya6jDoZVjVpcEZaxg6TCYee1zVBce3jot2XkZZRPTlycH6+8MmSI21Ls7REf10iIiJJTaGsAbm75FaFmjRLI5DmH9MsbYdtAQvUeB7aF3pe1+vrO772vvBt6WnpCjoiIiJtiDnXei6BRdDqP4CIiIikjIj9atTUIiIiIpIEFMpEREREkoBCmYiIiEgSUCgTERERSQJJf/elmY0HbgMCwH3OuRsTXJJIfDnnl8pKv15ZWb0tntvr09jx3iId35jzmEFaml/M/BIIVD8P39fQ86Z8BhGRFpbUd1+aWQD4FDgC+BpYDJzknFsZdlhcP8APq1ZS9M1XNd8p9D+12s/r2oerWWGN/dT92hqvDz+mep+rem0DtRC+j5rnCx7varwu/LgI9dVVa636arxfje8iuDE8IOCgMjwsOD8wbmjbDqGisrq2qnUX8XzORTgX1e9X4/Wh84W+i0hhxtWxv2pfZfW+qvWar3U7fI5a31kjxPIfQTL+TohJRQakpflz1Q57VkeIC+0PBKrvlQrtT0vzJwyk1Xx96Bw1Hq3uc6el1Xidq/3aNPPvkWY13zMt7Dir/V5p1eeyOj5n+Dp11Fr1XVnVuqtar7kdrPp7Cd9e9Z1azWOIdAz1b699TFVNNbdF/u9exzHh54r0897A6+p5w6g2NXQu51zMaoh4rgSK5e+ZWJ6rY+cu9PnxoJidL4KI/zGSvaVsf+Az59waADN7HDgOWFnvq2Lo7zefzrxF77XU24lUsx2e1HNsA8dYxJVWwNV42HF3xB31v05EpJb8Prtx25y1CXv/ZA9lewBfha1/DYxoyQI67NSF7l2z/UpjL700uLkx52twQz2na/h9LK0Z/6Ou86+5Bmpp6HuoHUjqCiiRvpM6zl2jxMb89VnH9hpTN9VbV0PfSz2frQli+YdwrM6VVNNchYc3IxjWwluCw9Z3CHLhrZg1jzFjx2C4Q4t1PfXU99pI26I4v9VT847b6nrPsHNZ7UOiSLp11FWrrSvi+zW4M6ZB27W6P1OaYod/is1oXUqmf9YhsSqp584dYnSmpkn2UJZwZ9/0AmcnuggRERFp85L97st1QK+w9Z7BbSIiIiJtSrKHssVAPzPrY2aZwIlAcs4OLiIiItIMSX350jlXbmbnAS/ih8SY6Zz7MMFliYiIiMRcUg+JEaVW/wFEREQkZUS8LyHZL1+KiIiIpASFMhEREZEkoFAmIiIikgQUykRERESSgEKZiIiISBJQKBMRERFJAkk9TlmUknAWLhEREZHGUUuZiIiISBJQKBMRERFJAgplIiIiIklAoUxEREQkCSiUNcDMxpvZJ2b2mZldnuh6EsHMepnZq2a20sw+NLMLgtuvNbN1ZrYsuByV6FpbmpmtNbP3g59/SXBbVzN7ycxWBR93SnSdLcXM9gn7eVhmZlvM7Lep9rNiZjPNbIOZfRC2rc6fC/NuD/6OWWFmQxJXefxE+E5uNrOPg5/7GTPrEtze28yKw35e7klc5fEV4XuJ+O/FzK4I/qx8YmbjElN1fEX4Tp4I+z7Wmtmy4PY29bPSFiYkjxszCwCfAkcAXwOLgZOccysTWlgLM7PdgN2cc++aWUdgKXA88DOgyDk3I6EFJpCZrQWGOec2hW37E1DgnLsxGOR3cs5dlqgaEyX472cdMAI4jRT6WTGz0UAR8LBzbmBwW50/F8H/4f4GOAr/Xd3mnBuRqNrjJcJ3ciTwinOu3MxuAgh+J72BeaHj2rII38u11PHvxcz2Ax4D9gd2B14G+jvnKlq06Dir6zuptf8WYLNzbnpb+1lRS1n99gc+c86tcc6VAo8DxyW4phbnnFvvnHs3+LwQ+AjYI7FVJbXjgIeCzx/CB9hUNBZY7Zz7ItGFtDTn3BtAQa3NkX4ujsP/z8c55/4LdAn+IdSm1PWdOOfmO+fKg6v/BXq2eGEJFuFnJZLjgMedcyXOuc+Bz/D/n2pT6vtOzMzwDQKPtWhRLUShrH57AF+FrX9NioeR4F8lg4FFwU3nBS89zEyly3RhHDDfzJaa2a+D23Zxzq0PPv8W2CUxpSXcidT8xZnqPyuRfi70e8Y7HXg+bL2Pmb1ndJXP+wAACERJREFUZq+b2ahEFZVAdf170c8KjAK+c86tCtvWZn5WFMokambWAfgn8Fvn3BbgbmBvIB9YD9ySwPIS5WDn3BDgJ8C5wWb3Ks73D0i5PgJmlglMAGYHN+lnJUyq/lxEYma/B8qBWcFN64E9nXODgYuAR82sU6LqSwD9e4nsJGr+sdemflYUyuq3DugVtt4zuC3lmFkGPpDNcs49DeCc+845V+GcqwT+ThtsRm+Ic25d8HED8Az+O/gudPkp+LghcRUmzE+Ad51z34F+VoIi/Vyk9O8ZM5sGHANMDYZVgpfnvg8+XwqsBvonrMgWVs+/l1T/WUkHTgCeCG1raz8rCmX1Wwz0M7M+wb/8TwSeTXBNLS54Df9+4CPn3J/Dtof3e/n/7d1/zJVlHcfx9yeeYUI/pDQStgamayvbZDN/lDpbRUzMpVuFm4mmSzZl/daJLZ+hlNrU1ZYlIzEyUKgxnjYGhIuwkeEPVMShKVIxMENyOkBE+PbHdZ15c3efp0fm85yLw+e1PTvnvs51X9f3PrvP9uX6cXM+8GT93G4maWTe+ICkkcBE0nfQB0zN1aYCSzoTYUcd8K/Zw/1eydrdF33AxXkX5mmkBczbmhroNpImAVcD50XErkr5MXmjCJKOA04ANnUmyqHXz++lD5gi6QhJ40nfy9qhjq+DPgtsjIgtrYJuu1e64f++HDR5R9BVwHJgGHBXRGzocFid8Cngq8D61jZkYAZwoaSTSNMwm4ErOhNex4wGFqeclR5gfkQsk/QQsFDSZcDfSYtSDxs5Qf0cB94PtxxO94qkBcDZwNGStgDXAzfRfF8sJe28fBbYRdqp2nXafCfXAkcAf8i/owcjYhpwFjBT0l5gPzAtIga6GP6Q0uZ7Obvp9xIRGyQtBJ4iTfde2W07L6H5O4mIX/K/61Shy+4VPxLDzMzMrACevjQzMzMrgJMyMzMzswI4KTMzMzMrgJMyMzMzswI4KTMzMzMrgJMyMzMzswI4KTMzMzMrgJMyMzMzswI4KTMzMzMrgJMyMzMzswI4KTMzMzMrgJMyMzMzswI4KTMzMzMrgJMyMzMzswI4KTMzMzMrgJMyMzMzswI4KTMzMzMrgJMyMxs0kmIAf5sljcvvL+l0zC2SxkraKenkAdQNSb1DEFZT35K0TtLVnejfzN4+PZ0OwMy62um148XA40BvpWwPsC3XfW5owhqQG4A/RsTDnQ6kPxERkmYCd0maExE7Oh2TmR0cJ2VmNmgi4sHqsaQ9wPZ6edZU1hGSRgMXAed3OpYB6gNeAy4HbulwLGZ2kDx9aWYd1zR9KeluSVsknSxpjaTdkp6WNDl//u089fmKpCWSjqm12SPpWkkbJe2RtFXSrZLeOYCQLgFeBZbX2hwm6UZJ2yTtkrRK0scarud4Sb+W9HyOe5Okn0saVanznRxXPW7l+vdWruMGSc9Jek3Sdkl/lnRG65yI2AcsIiVlZnaIclJmZiV7DzAPmEMatXoR+J2kW4FPA1cC38zvf1Y79x7g+8B8YDLwI+Ay4DcD6HcS8JeIeKNW3gvMyG18EVhBGqWqGwP8M8f2eWAm8BlgaaXOXGA/cGnt3InAeOAX+fga4FvAT3NblwL3A++rnbcaOEHScQO4PjMrkKcvzaxk7wamRcRqAElbSWvSzgU+mkeIkHQiMF3SsIjYJ+lM4CvA1IiYl9taKWkHcI+kkyLisaYOJQk4Fbi9Vj6KlBzNjojv5uIVkvYBN1Xr5nhXV85dAzwLPCBpQkSsi4gdku4Dvi7pxxERufoVwMaIWJWPTwdWRMRPKl38viH0dfn1NGBT07WZWdk8UmZmJdvZSsiyjfl1ZSshq5T3AMfm40nA68Bv8/Rfj6Qe0sgWwFn99HkUcCTw71r5x4GRwMJa+b31BiQNlzQjT53uBvYCD+SPP1KpegfwYdIoGpKOBb4AzK7UeQg4R9IsSWdIGt4m7la8Y/q5NjMrmJMyMyvZy9WDiHg9v/1PrV6rvLVe7APAcGAnKSFq/b2YP39/P3222thTK28lfP+qldePIU2V9pKmUCcDpwAX1NonItYCjwDTctHlwBvArypt/RC4HjiPlNi9JGmupKNrfe7Or0c2XZSZlc/Tl2bWjV4i7UY8s83nW//PuQCjauXb8utoYEOlfHRDG1OAeRFxY6tA0rva9HcHcKeksaSkbFH1sRYRsRe4GbhZ0gdJU7e3ASNIU7QtrTVm29v0Y2aF80iZmXWjZaQRqfdGxMMNf22Tsjwa9zxQXzD/BGnk7cu18ikNzYwgjcxV1Rf0tywg7fScD3yINxf4N8X2QkTMAVYCJ9Y+Hp9fn253vpmVzSNlZtZ1ImKVpAWkNWW3AWtJOx3HAecA10TEM/00sZo05Vht82VJtwPXSXqVtD7tE6QdnXXLgKmS1pMW+F8AfLJNrLsl3U3aRLA+ItZUP5e0hLS54VHStO0E0pq5O2tNnUpKBIt53puZvTVOysysW10ETAe+BlxHWiO2mfTssaZ1YFX3ARdLGhcRmyvlvYBI04xXAX8lLczfUDt/eq43Kx8vBS4kJYdNFpGSsnqiBSlB/BLp8R8jgH+QHhA7q1bvXKAvInb1f2lmViq9uQvbzMwAJL0D+Bswt7oubBD7mwV8AxgTEa8cxPmt56JNjIj73+74zGxoeE2ZmVlNROwHfkB69tmIwepH0gRJU0gJ2eyDSciy7wF/ckJmdmjz9KWZWbP5wFjSOrSnBqmPxaTdm8tJj714y/LDbl/gwGebmdkhyNOXZmZmZgXw9KWZmZlZAZyUmZmZmRXASZmZmZlZAZyUmZmZmRXASZmZmZlZAf4L4IVVwXdxMCkAAAAASUVORK5CYII=\n",
            "text/html": [
              "\n",
              "\n",
              "<style>\n",
              "\n",
              "</style>\n",
              "\n",
              "<div id=\"fig_el621398363109227685724061822\"></div>\n",
              "<script>\n",
              "function mpld3_load_lib(url, callback){\n",
              "  var s = document.createElement('script');\n",
              "  s.src = url;\n",
              "  s.async = true;\n",
              "  s.onreadystatechange = s.onload = callback;\n",
              "  s.onerror = function(){console.warn(\"failed to load library \" + url);};\n",
              "  document.getElementsByTagName(\"head\")[0].appendChild(s);\n",
              "}\n",
              "\n",
              "if(typeof(mpld3) !== \"undefined\" && mpld3._mpld3IsLoaded){\n",
              "   // already loaded: just create the figure\n",
              "   !function(mpld3){\n",
              "       \n",
              "       mpld3.draw_figure(\"fig_el621398363109227685724061822\", {\"width\": 720.0, \"height\": 360.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-9.15, 192.15], \"ylim\": [-423087.9939612887, 8884847.873187063], \"xdomain\": [-9.15, 192.15], \"ydomain\": [-423087.9939612887, 8884847.873187063], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 10, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 7, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, 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0.9816041206769683], [0.7629928315412187, 0.9816041206769683], [0.7594086021505376, 0.9816041206769683], [0.7594086021505376, 0.9742457689477557], [0.7594086021505376, 0.5842531272994849], [0.7594086021505376, 0.5768947755702722], [0.7629928315412187, 0.5768947755702722]]}, \"id\": \"el62139836310922768\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}]});\n",
              "   }(mpld3);\n",
              "}else if(typeof define === \"function\" && define.amd){\n",
              "   // require.js is available: use it to load d3/mpld3\n",
              "   require.config({paths: {d3: \"https://d3js.org/d3.v5\"}});\n",
              "   require([\"d3\"], function(d3){\n",
              "      window.d3 = d3;\n",
              "      mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
              "         \n",
              "         mpld3.draw_figure(\"fig_el621398363109227685724061822\", {\"width\": 720.0, \"height\": 360.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-9.15, 192.15], \"ylim\": [-423087.9939612887, 8884847.873187063], \"xdomain\": [-9.15, 192.15], \"ydomain\": [-423087.9939612887, 8884847.873187063], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 10, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 7, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el62139836310924944\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", \"id\": \"el62139836310287440\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"data\", \"id\": \"el62139836310456784\", \"color\": \"#FF0000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"data\", \"id\": \"el62139836310458064\", \"color\": \"#BFBF00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"data\", \"id\": \"el62139836328027152\", \"color\": \"#007F00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 5, \"coordinates\": \"data\", \"id\": \"el62139836328028432\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"id\": \"el62139836327958032\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"axes\", \"id\": \"el62139836327959568\", \"color\": \"#FF0000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"axes\", \"id\": \"el62139836328063760\", \"color\": \"#BFBF00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"axes\", \"id\": \"el62139836328065488\", \"color\": \"#007F00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 5, \"coordinates\": \"axes\", \"id\": \"el62139836328022288\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}], \"paths\": [{\"data\": \"data03\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"pathcodes\": [\"M\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"Z\"], \"id\": \"el62139836328029904\", \"dasharray\": \"none\", \"alpha\": 0.5, \"facecolor\": \"rgba(255, 255, 255, 0.5)\", \"edgecolor\": \"rgba(204, 204, 204, 0.5)\", \"edgewidth\": 1.0, \"zorder\": 1000000.0}], \"markers\": [], \"texts\": [{\"text\": \"Time (days)\", \"position\": [0.5, -0.1085356880058867], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"hanging\", \"rotation\": -0.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": \"el62139836310887248\"}, {\"text\": \"Populations (people)\", \"position\": [-0.046370967741935484, 0.5], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"auto\", \"rotation\": -90.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": \"el62139836310819792\"}, {\"text\": \"Susceptible\", \"position\": [0.8454301075268819, 0.8785871964679912], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el62139836327957456\"}, {\"text\": \"Infected\", \"position\": [0.8454301075268819, 0.8233995584988962], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, 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6265.818219781912], [180.0, 3167112.152716839, 10.584136872644898, 0.3156516218857828, 828454.4729478387, 6265.844233306418], [181.0, 3166558.350767619, 9.464356617323572, 0.2824739143687546, 828456.4864201308, 6265.867515988423], [182.0, 3162368.353133632, 8.462908654492049, 0.2527500957487794, 828458.2869113258, 6265.888351459769], [183.0, 3158214.3186368244, 7.566491576463229, 0.22612865813129604, 828459.8969184749, 6265.90699448169]], \"data02\": [[0.7952508960573477, 0.8914643119941134, 0.8362766740250184, 0.7810890360559234, 0.7259013980868286, 0.6707137601177336], [0.8310931899641577, 0.8914643119941134, 0.8362766740250184, 0.7810890360559234, 0.7259013980868286, 0.6707137601177336]], \"data03\": [[0.7629928315412187, 0.5768947755702722], [0.9874551971326165, 0.5768947755702722], [0.9910394265232975, 0.5768947755702722], [0.9910394265232975, 0.5842531272994849], [0.9910394265232975, 0.9742457689477557], [0.9910394265232975, 0.9816041206769683], [0.9874551971326165, 0.9816041206769683], [0.7629928315412187, 0.9816041206769683], [0.7594086021505376, 0.9816041206769683], [0.7594086021505376, 0.9742457689477557], [0.7594086021505376, 0.5842531272994849], [0.7594086021505376, 0.5768947755702722], [0.7629928315412187, 0.5768947755702722]]}, \"id\": \"el62139836310922768\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}]});\n",
              "      });\n",
              "    });\n",
              "}else{\n",
              "    // require.js not available: dynamically load d3 & mpld3\n",
              "    mpld3_load_lib(\"https://d3js.org/d3.v5.js\", function(){\n",
              "         mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
              "                 \n",
              "                 mpld3.draw_figure(\"fig_el621398363109227685724061822\", {\"width\": 720.0, \"height\": 360.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-9.15, 192.15], \"ylim\": [-423087.9939612887, 8884847.873187063], \"xdomain\": [-9.15, 192.15], \"ydomain\": [-423087.9939612887, 8884847.873187063], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 10, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 7, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el62139836310924944\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", \"id\": \"el62139836310287440\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"data\", \"id\": \"el62139836310456784\", \"color\": \"#FF0000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"data\", \"id\": \"el62139836310458064\", \"color\": \"#BFBF00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"data\", \"id\": \"el62139836328027152\", \"color\": \"#007F00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 5, \"coordinates\": \"data\", \"id\": \"el62139836328028432\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"id\": \"el62139836327958032\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"axes\", \"id\": \"el62139836327959568\", \"color\": \"#FF0000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"axes\", \"id\": \"el62139836328063760\", \"color\": \"#BFBF00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"axes\", \"id\": \"el62139836328065488\", \"color\": \"#007F00\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 5, \"coordinates\": \"axes\", \"id\": \"el62139836328022288\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}], \"paths\": [{\"data\": \"data03\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"pathcodes\": [\"M\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"Z\"], \"id\": \"el62139836328029904\", \"dasharray\": \"none\", \"alpha\": 0.5, \"facecolor\": \"rgba(255, 255, 255, 0.5)\", \"edgecolor\": \"rgba(204, 204, 204, 0.5)\", \"edgewidth\": 1.0, \"zorder\": 1000000.0}], \"markers\": [], \"texts\": [{\"text\": \"Time (days)\", \"position\": [0.5, -0.1085356880058867], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"hanging\", \"rotation\": -0.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": \"el62139836310887248\"}, {\"text\": \"Populations (people)\", \"position\": [-0.046370967741935484, 0.5], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"auto\", \"rotation\": -90.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": \"el62139836310819792\"}, {\"text\": \"Susceptible\", \"position\": [0.8454301075268819, 0.8785871964679912], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el62139836327957456\"}, {\"text\": \"Infected\", \"position\": [0.8454301075268819, 0.8233995584988962], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el62139836327959120\"}, {\"text\": \"Hospitalized\", \"position\": [0.8454301075268819, 0.7682119205298013], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el62139836328063312\"}, {\"text\": \"Recovered\", \"position\": [0.8454301075268819, 0.7130242825607065], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el62139836328065040\"}, {\"text\": \"Dead\", \"position\": [0.8454301075268819, 0.6578366445916115], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el62139836328066768\"}], \"collections\": [], \"images\": [], \"sharex\": [], \"sharey\": []}], \"data\": {\"data01\": [[0.0, 8461759.879225774, 5779.12077422607, 2.068686092926441e-25, 322210.0, 2751.0], [1.0, 8460471.088535834, 5973.923816104211, 26.434864133862245, 323277.5527839274, 2751.0], [2.0, 8459139.05409473, 6175.094390438411, 46.92774103751152, 324385.97391992784, 2752.9498538667913], [3.0, 8457762.376951432, 6382.826074267978, 63.0436806001517, 325535.34201718913, 2756.411276511463], [4.0, 8456339.616467208, 6597.317488200846, 75.94407389554348, 326726.0605486884, 2761.061422007671], [5.0, 8454869.289330306, 6818.772326981968, 86.49101660868399, 327958.7842166665, 2766.6631094381505], [6.0, 8453349.868564341, 7047.399390566689, 95.32469606490973, 329234.3646023679, 2773.042746659781], [7.0, 8451779.782532224, 7283.412613784348, 102.9207748984573, 330553.81011690304, 2780.073962189456], [8.0, 8450157.413937513, 7527.031092950922, 109.63294195278635, 331918.25655783433, 2787.6654697490435], [9.0, 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              "         });\n",
              "}\n",
              "</script>"
            ],
            "text/plain": [
              "<Figure size 720x360 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
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              "   // already loaded: just create the figure\n",
              "   !function(mpld3){\n",
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\"el62139836306602896\"}, {\"text\": \"Real Total Infected\", \"position\": [0.06630824372759858, 0.9374540103016924], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el62139836306335376\"}, {\"text\": \"Real Total Deaths\", \"position\": [0.06630824372759858, 0.8822663723325976], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el62139836306337360\"}, {\"text\": \"Predicted Total Infected\", \"position\": [0.06630824372759858, 0.8270787343635027], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el62139836306336976\"}, {\"text\": \"Predicted Total Deaths\", \"position\": 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              "   }(mpld3);\n",
              "}else if(typeof define === \"function\" && define.amd){\n",
              "   // require.js is available: use it to load d3/mpld3\n",
              "   require.config({paths: {d3: \"https://d3js.org/d3.v5\"}});\n",
              "   require([\"d3\"], function(d3){\n",
              "      window.d3 = d3;\n",
              "      mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
              "         \n",
              "         mpld3.draw_figure(\"fig_el621398363102101924648157961\", {\"width\": 720.0, \"height\": 360.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-9.15, 192.15], \"ylim\": [-39069.8, 880987.8], \"xdomain\": [-9.15, 192.15], \"ydomain\": [-39069.8, 880987.8], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 10, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 7, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": 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834718.3923450479, 6265.818219781912], [180.0, 839118.0, 6381.0, 834720.6328327671, 6265.844233306418], [181.0, 839119.0, 6382.0, 834722.6364100336, 6265.867515988423], [182.0, 839159.0, 6389.0, 834724.4280128813, 6265.888351459769], [183.0, 839167.0, 6392.0, 834726.0300416148, 6265.90699448169]], \"data02\": [[0.01612903225806453, 0.9503311258278145, 0.8951434878587198, 0.8399558498896248, 0.7847682119205298], [0.051971326164874564, 0.9503311258278145, 0.8951434878587198, 0.8399558498896248, 0.7847682119205298]], \"data03\": [[0.01254480286738352, 0.7498160412067698], [0.28001792114695345, 0.7498160412067698], [0.2836021505376344, 0.7498160412067698], [0.2836021505376344, 0.7571743929359824], [0.2836021505376344, 0.9742457689477557], [0.2836021505376344, 0.9816041206769683], [0.28001792114695345, 0.9816041206769683], [0.01254480286738352, 0.9816041206769683], [0.00896057347670251, 0.9816041206769683], [0.00896057347670251, 0.9742457689477557], [0.00896057347670251, 0.7571743929359824], [0.00896057347670251, 0.7498160412067698], [0.01254480286738352, 0.7498160412067698]]}, \"id\": \"el62139836310210192\", \"plugins\": [{\"type\": \"reset\"}, {\"type\": \"zoom\", \"button\": true, \"enabled\": false}, {\"type\": \"boxzoom\", \"button\": true, \"enabled\": false}]});\n",
              "      });\n",
              "    });\n",
              "}else{\n",
              "    // require.js not available: dynamically load d3 & mpld3\n",
              "    mpld3_load_lib(\"https://d3js.org/d3.v5.js\", function(){\n",
              "         mpld3_load_lib(\"https://mpld3.github.io/js/mpld3.v0.5.5.js\", function(){\n",
              "                 \n",
              "                 mpld3.draw_figure(\"fig_el621398363102101924648157961\", {\"width\": 720.0, \"height\": 360.0, \"axes\": [{\"bbox\": [0.125, 0.125, 0.775, 0.755], \"xlim\": [-9.15, 192.15], \"ylim\": [-39069.8, 880987.8], \"xdomain\": [-9.15, 192.15], \"ydomain\": [-39069.8, 880987.8], \"xscale\": \"linear\", \"yscale\": \"linear\", \"axes\": [{\"position\": \"bottom\", \"nticks\": 10, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}, {\"position\": \"left\", \"nticks\": 7, \"tickvalues\": null, \"tickformat_formatter\": \"\", \"tickformat\": null, \"scale\": \"linear\", \"fontsize\": 10.0, \"grid\": {\"gridOn\": true, \"color\": \"#FFFFFF\", \"dasharray\": \"none\", \"alpha\": 1.0}, \"visible\": true}], \"axesbg\": \"#FFFFFF\", \"axesbgalpha\": null, \"zoomable\": true, \"id\": \"el62139836307068240\", \"lines\": [{\"data\": \"data01\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"data\", \"id\": \"el62139836306751376\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"data\", \"id\": \"el62139836306830672\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"data\", \"id\": \"el62139836306831952\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data01\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"data\", \"id\": \"el62139836306833232\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 2, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"id\": \"el62139836306336272\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 2, \"coordinates\": \"axes\", \"id\": \"el62139836306358352\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"7.4,3.2\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 3, \"coordinates\": \"axes\", \"id\": \"el62139836306359632\", \"color\": \"#0000FF\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}, {\"data\": \"data02\", \"xindex\": 0, \"yindex\": 4, \"coordinates\": \"axes\", \"id\": \"el62139836306361296\", \"color\": \"#000000\", \"linewidth\": 2.0, \"dasharray\": \"none\", \"alpha\": 0.7, \"zorder\": 1000002.0, \"drawstyle\": \"default\"}], \"paths\": [{\"data\": \"data03\", \"xindex\": 0, \"yindex\": 1, \"coordinates\": \"axes\", \"pathcodes\": [\"M\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"L\", \"S\", \"Z\"], \"id\": \"el62139836306334992\", \"dasharray\": \"none\", \"alpha\": 0.5, \"facecolor\": \"rgba(255, 255, 255, 0.5)\", \"edgecolor\": \"rgba(204, 204, 204, 0.5)\", \"edgewidth\": 1.0, \"zorder\": 1000000.0}], \"markers\": [], \"texts\": [{\"text\": \"Time (days)\", \"position\": [0.5, -0.1085356880058867], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"hanging\", \"rotation\": -0.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": \"el62139836306619792\"}, {\"text\": \"Populations (people)\", \"position\": [-0.10237455197132617, 0.5], \"coordinates\": \"axes\", \"h_anchor\": \"middle\", \"v_baseline\": \"auto\", \"rotation\": -90.0, \"fontsize\": 16.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 3, \"id\": \"el62139836306602896\"}, {\"text\": \"Real Total Infected\", \"position\": [0.06630824372759858, 0.9374540103016924], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el62139836306335376\"}, {\"text\": \"Real Total Deaths\", \"position\": [0.06630824372759858, 0.8822663723325976], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el62139836306337360\"}, {\"text\": \"Predicted Total Infected\", \"position\": [0.06630824372759858, 0.8270787343635027], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el62139836306336976\"}, {\"text\": \"Predicted Total Deaths\", \"position\": [0.06630824372759858, 0.7718910963944077], \"coordinates\": \"axes\", \"h_anchor\": \"start\", \"v_baseline\": \"auto\", \"rotation\": -0.0, \"fontsize\": 10.0, \"color\": \"#000000\", \"alpha\": 1, \"zorder\": 1000003.0, \"id\": \"el62139836306360848\"}], \"collections\": [], \"images\": [], \"sharex\": [], \"sharey\": []}], \"data\": {\"data01\": [[0.0, 324961.0, 2751.0, 324961.0, 2751.0], [1.0, 325790.0, 2763.0, 326054.9876480613, 2751.0], [2.0, 326585.0, 2770.0, 327185.8515148321, 2752.9498538667913], [3.0, 327355.0, 2778.0, 328354.7969743007, 2756.411276511463], [4.0, 328129.0, 2784.0, 329563.0660445916, 2761.061422007671], [5.0, 328551.0, 2796.0, 330811.9383427133, 2766.6631094381505], [6.0, 329316.0, 2813.0, 332102.7320450926, 2773.042746659781], [7.0, 330275.0, 2820.0, 333436.8048539909, 2780.073962189456], [8.0, 331132.0, 2826.0, 334815.55496953614, 2787.6654697490435], [9.0, 332211.0, 2831.0, 336240.42206679186, 2795.7520713941976], [10.0, 333296.0, 2840.0, 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